Frenkel, Edward; Koroteev, Peter; Sage, Daniel S.; Zeitlin, Anton M. \(q\)-opers, \(QQ\)-systems, and Bethe Ansatz. (English) Zbl 07815184 J. Eur. Math. Soc. (JEMS) 26, No. 1, 355-405 (2024). MSC: 82B23 82D40 17B80 14D24 81R50 22E10 39A06 37K35 PDFBibTeX XMLCite \textit{E. Frenkel} et al., J. Eur. Math. Soc. (JEMS) 26, No. 1, 355--405 (2024; Zbl 07815184) Full Text: DOI arXiv
Geiss, Christof; Hernandez, David; Leclerc, Bernard Representations of shifted quantum affine algebras and cluster algebras I. The simply-laced case. arXiv:2401.04616 Preprint, arXiv:2401.04616 [math.QA] (2024). MSC: 17B67 13F60 17B10 17B37 82B23 BibTeX Cite \textit{C. Geiss} et al., ``Representations of shifted quantum affine algebras and cluster algebras I. The simply-laced case'', Preprint, arXiv:2401.04616 [math.QA] (2024) Full Text: arXiv OA License
Kulkarni, G.; Slavnov, N. A. Scalar products of Bethe vectors in the generalized algebraic Bethe ansatz. (English. Russian original) Zbl 07805990 Theor. Math. Phys. 217, No. 1, 1574-1594 (2023); translation from Teor. Mat. Fiz. 217, No. 1, 179-203 (2023). MSC: 82B23 PDFBibTeX XMLCite \textit{G. Kulkarni} and \textit{N. A. Slavnov}, Theor. Math. Phys. 217, No. 1, 1574--1594 (2023; Zbl 07805990); translation from Teor. Mat. Fiz. 217, No. 1, 179--203 (2023) Full Text: DOI arXiv
Carmelo, J. M. P.; Sacramento, P. D. Corrigendum to: “The role of \(q\)-spin singlet pairs of physical spins in the dynamical properties of the spin-1/2 Heisenberg-ising XXZ chain”. (English) Zbl 07799651 Nucl. Phys., B 997, Article ID 116385, 2 p. (2023). MSC: 82C20 82B23 82D40 81R50 PDFBibTeX XMLCite \textit{J. M. P. Carmelo} and \textit{P. D. Sacramento}, Nucl. Phys., B 997, Article ID 116385, 2 p. (2023; Zbl 07799651) Full Text: DOI
Affolter, Niklas Christoph; de Tilière, Béatrice; Melotti, Paul The Schwarzian octahedron recurrence (dSKP equation). I: Explicit solutions. (English) Zbl 1527.05012 Comb. Theory 3, No. 2, Paper No. 15, 58 p. (2023). MSC: 05A15 37K10 37K60 82B20 82B23 PDFBibTeX XMLCite \textit{N. C. Affolter} et al., Comb. Theory 3, No. 2, Paper No. 15, 58 p. (2023; Zbl 1527.05012) Full Text: DOI arXiv
George, Terrence; Ramassamy, Sanjay Discrete dynamics in cluster integrable systems from geometric \(R\)-matrix transformations. (English) Zbl 1527.82010 Comb. Theory 3, No. 2, Paper No. 12, 29 p. (2023). MSC: 82B23 13F60 14H70 20B35 PDFBibTeX XMLCite \textit{T. George} and \textit{S. Ramassamy}, Comb. Theory 3, No. 2, Paper No. 12, 29 p. (2023; Zbl 1527.82010) Full Text: DOI arXiv
Korepanov, Igor G. Self-similarity in cubic blocks of \(\mathscr{R}\)-operators. (English) Zbl 07775729 J. Math. Phys. 64, No. 10, Article ID 101704, 21 p. (2023). MSC: 82B23 16T25 81R50 82B20 PDFBibTeX XMLCite \textit{I. G. Korepanov}, J. Math. Phys. 64, No. 10, Article ID 101704, 21 p. (2023; Zbl 07775729) Full Text: DOI arXiv
George, T.; Goncharov, A. B.; Kenyon, R. The inverse spectral map for dimers. (English) Zbl 07749838 Math. Phys. Anal. Geom. 26, No. 3, Paper No. 24, 51 p. (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J70 37K60 82B23 82B20 13F60 14H70 14E05 PDFBibTeX XMLCite \textit{T. George} et al., Math. Phys. Anal. Geom. 26, No. 3, Paper No. 24, 51 p. (2023; Zbl 07749838) Full Text: DOI arXiv
Koroteev, Peter; Zeitlin, Anton M. 3D mirror symmetry for instanton moduli spaces. (English) Zbl 07746833 Commun. Math. Phys. 403, No. 2, 1005-1068 (2023). MSC: 81Q20 14J33 11E70 37J35 14C35 16G20 35G15 37C25 14D24 82B23 14F06 PDFBibTeX XMLCite \textit{P. Koroteev} and \textit{A. M. Zeitlin}, Commun. Math. Phys. 403, No. 2, 1005--1068 (2023; Zbl 07746833) Full Text: DOI arXiv OA License
Brochier, Adrien; Gordon, Iain; White, Noah Gaudin algebras, RSK and Calogero-Moser cells in type A. (English) Zbl 1521.05212 Proc. Lond. Math. Soc. (3) 126, No. 5, 1467-1495 (2023). MSC: 05E10 17B80 82B23 17B10 PDFBibTeX XMLCite \textit{A. Brochier} et al., Proc. Lond. Math. Soc. (3) 126, No. 5, 1467--1495 (2023; Zbl 1521.05212) Full Text: DOI arXiv OA License
Chernyak, Dmitry; Gainutdinov, Azat M.; Jacobsen, Jesper Lykke; Saleur, Hubert Algebraic Bethe ansatz for the open XXZ spin chain with non-diagonal boundary terms via \(U_{\mathfrak{q}}\mathfrak{sl}_2\) symmetry. (English) Zbl 07727613 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 046, 47 p. (2023). MSC: 81R50 81R12 81U15 16T25 82B20 82B23 22E47 57K12 81R40 18M20 PDFBibTeX XMLCite \textit{D. Chernyak} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 046, 47 p. (2023; Zbl 07727613) Full Text: DOI arXiv
Kuniba, Atsuo; Matsuike, Shuichiro; Yoneyama, Akihito New solutions to the tetrahedron equation associated with quantized six-vertex models. (English) Zbl 07719644 Commun. Math. Phys. 401, No. 3, 3247-3276 (2023). MSC: 82B23 81R50 81R12 PDFBibTeX XMLCite \textit{A. Kuniba} et al., Commun. Math. Phys. 401, No. 3, 3247--3276 (2023; Zbl 07719644) Full Text: DOI arXiv
Skrypnyk, T. Elliptic BCS-Richardson model and the modified algebraic Bethe ansatz. (English) Zbl 07680164 J. Phys. A, Math. Theor. 56, No. 20, Article ID 205202, 20 p. (2023). MSC: 81P68 82B23 15A06 78A30 81R12 PDFBibTeX XMLCite \textit{T. Skrypnyk}, J. Phys. A, Math. Theor. 56, No. 20, Article ID 205202, 20 p. (2023; Zbl 07680164) Full Text: DOI
Koroteev, Peter; Zeitlin, Anton M. Toroidal \(q\)-opers. (English) Zbl 07663701 J. Inst. Math. Jussieu 22, No. 2, 581-642 (2023). MSC: 22E57 14D20 14H81 37N20 81R50 82B23 PDFBibTeX XMLCite \textit{P. Koroteev} and \textit{A. M. Zeitlin}, J. Inst. Math. Jussieu 22, No. 2, 581--642 (2023; Zbl 07663701) Full Text: DOI arXiv
Skrypnyk, T. Elliptic Gaudin-type model in an external magnetic field and modified algebraic Bethe ansatz. (English) Zbl 1520.81091 Nucl. Phys., B 988, Article ID 116102, 45 p. (2023). MSC: 81R10 81R12 37J35 82B20 82B23 22E70 14D15 15A20 82D40 PDFBibTeX XMLCite \textit{T. Skrypnyk}, Nucl. Phys., B 988, Article ID 116102, 45 p. (2023; Zbl 1520.81091) Full Text: DOI
Frahm, Holger; Gehrmann, Sascha Integrable boundary conditions for staggered vertex models. (English) Zbl 1515.81205 J. Phys. A, Math. Theor. 56, No. 2, Article ID 025001, 32 p. (2023). MSC: 81U15 81R10 81R12 81R50 16T25 PDFBibTeX XMLCite \textit{H. Frahm} and \textit{S. Gehrmann}, J. Phys. A, Math. Theor. 56, No. 2, Article ID 025001, 32 p. (2023; Zbl 1515.81205) Full Text: DOI arXiv
Fioravanti, Davide; Rossi, Marco On the origin of the correspondence between classical and quantum integrable theories. (English) Zbl 1519.81184 Phys. Lett., B 838, Article ID 137706, 10 p. (2023). MSC: 81Q05 34L25 81R12 81Q40 35Q55 81Q60 70S15 81U05 81Q30 82B20 82B23 PDFBibTeX XMLCite \textit{D. Fioravanti} and \textit{M. Rossi}, Phys. Lett., B 838, Article ID 137706, 10 p. (2023; Zbl 1519.81184) Full Text: DOI arXiv
Salom, I.; Manojlović, N. \(s\ell (2)\) Gaudin model with general boundary terms. (English) Zbl 07819677 Dobrev, Vladimir (ed.), Lie theory and its applications in physics. Selected papers based on the presentations at the workshop, Sofia, Bulgaria, online, June 2021. Singapore: Springer. Springer Proc. Math. Stat. 396, 371-379 (2022). MSC: 81-XX 83-XX PDFBibTeX XMLCite \textit{I. Salom} and \textit{N. Manojlović}, Springer Proc. Math. Stat. 396, 371--379 (2022; Zbl 07819677) Full Text: DOI
Burdík, Čestmir; Navrátil, O. Nested Bethe ansatz for RTT-algebra \(\mathcal{A}_n\). (English) Zbl 07819672 Dobrev, Vladimir (ed.), Lie theory and its applications in physics. Selected papers based on the presentations at the workshop, Sofia, Bulgaria, online, June 2021. Singapore: Springer. Springer Proc. Math. Stat. 396, 325-332 (2022). MSC: 16S99 82B23 PDFBibTeX XMLCite \textit{Č. Burdík} and \textit{O. Navrátil}, Springer Proc. Math. Stat. 396, 325--332 (2022; Zbl 07819672) Full Text: DOI arXiv
Frassek, Rouven Integrable boundaries for the \(q\)-Hahn process. (English) Zbl 1519.82026 J. Phys. A, Math. Theor. 55, No. 40, Article ID 404008, 19 p. (2022). MSC: 82B23 81R50 PDFBibTeX XMLCite \textit{R. Frassek}, J. Phys. A, Math. Theor. 55, No. 40, Article ID 404008, 19 p. (2022; Zbl 1519.82026) Full Text: DOI arXiv
Trunina, E.; Zotov, A. Lax equations for relativistic \(\mathrm{GL}(NM, \mathbb{C})\) Gaudin models on elliptic curve. (English) Zbl 1520.37047 J. Phys. A, Math. Theor. 55, No. 39, Article ID 395202, 38 p. (2022). MSC: 37J35 37J37 82B23 81Q80 16T25 PDFBibTeX XMLCite \textit{E. Trunina} and \textit{A. Zotov}, J. Phys. A, Math. Theor. 55, No. 39, Article ID 395202, 38 p. (2022; Zbl 1520.37047) Full Text: DOI arXiv
Zúñiga-Galindo, W. A.; Zambrano-Luna, B. A.; León-Cardenal, E. Graphs, local zeta functions, log-Coulomb gases, and phase transitions at finite temperature. (English) Zbl 1507.82026 J. Math. Phys. 63, No. 1, Article ID 013506, 21 p. (2022). MSC: 82B23 11S80 46S10 11Z05 11M41 14G10 PDFBibTeX XMLCite \textit{W. A. Zúñiga-Galindo} et al., J. Math. Phys. 63, No. 1, Article ID 013506, 21 p. (2022; Zbl 1507.82026) Full Text: DOI arXiv
Retore, Ana L. Introduction to classical and quantum integrability. (English) Zbl 1505.82016 J. Phys. A, Math. Theor. 55, No. 17, Article ID 173001, 51 p. (2022). MSC: 82B20 82B23 81Q80 37J35 37K10 PDFBibTeX XMLCite \textit{A. L. Retore}, J. Phys. A, Math. Theor. 55, No. 17, Article ID 173001, 51 p. (2022; Zbl 1505.82016) Full Text: DOI arXiv
Liashyk, A.; Pakuliak, S. Z. Recurrence relations for off-shell Bethe vectors in trigonometric integrable models. (English) Zbl 1505.82021 J. Phys. A, Math. Theor. 55, No. 7, Article ID 075201, 23 p. (2022). MSC: 82B23 81Q80 PDFBibTeX XMLCite \textit{A. Liashyk} and \textit{S. Z. Pakuliak}, J. Phys. A, Math. Theor. 55, No. 7, Article ID 075201, 23 p. (2022; Zbl 1505.82021) Full Text: DOI arXiv
Böhm, Janko; Jacobsen, Jesper Lykke; Jiang, Yunfeng; Zhang, Yang Geometric algebra and algebraic geometry of loop and Potts models. (English) Zbl 1522.82007 J. High Energy Phys. 2022, No. 5, Paper No. 68, 56 p. (2022). MSC: 82B20 82B10 81T25 81R12 81T40 81T60 82B23 PDFBibTeX XMLCite \textit{J. Böhm} et al., J. High Energy Phys. 2022, No. 5, Paper No. 68, 56 p. (2022; Zbl 1522.82007) Full Text: DOI arXiv
Gorsky, A.; Vasilyev, M.; Zotov, A. Dualities in quantum integrable many-body systems and integrable probabilities. I. (English) Zbl 1522.81685 J. High Energy Phys. 2022, No. 4, Paper No. 159, 86 p. (2022). MSC: 81U15 81R12 81R50 82B23 81T13 37K10 37J35 17B80 PDFBibTeX XMLCite \textit{A. Gorsky} et al., J. High Energy Phys. 2022, No. 4, Paper No. 159, 86 p. (2022; Zbl 1522.81685) Full Text: DOI arXiv
Ekhammar, Simon; Volin, Dmytro Monodromy bootstrap for \(\mathrm{SU}(2|2)\) quantum spectral curves: from Hubbard model to \(\mathrm{AdS}_3/\mathrm{CFT}_2\). (English) Zbl 1522.81347 J. High Energy Phys. 2022, No. 3, Paper No. 192, 60 p. (2022). MSC: 81T30 81R12 81R50 82B23 82B20 81T40 PDFBibTeX XMLCite \textit{S. Ekhammar} and \textit{D. Volin}, J. High Energy Phys. 2022, No. 3, Paper No. 192, 60 p. (2022; Zbl 1522.81347) Full Text: DOI arXiv
Li, Guang-Liang; Xu, Xiaotian; Hao, Kun; Sun, Pei; Cao, Junpeng; Yang, Wen-Li; Shi, Kangjie; Wang, Yupeng Exact solution of the quantum integrable model associated with the twisted \(D_3^{(2)}\) algebra. (English) Zbl 1522.81687 J. High Energy Phys. 2022, No. 3, Paper No. 175, 35 p. (2022). MSC: 81U15 81Q80 82B20 82B23 81R12 81R50 PDFBibTeX XMLCite \textit{G.-L. Li} et al., J. High Energy Phys. 2022, No. 3, Paper No. 175, 35 p. (2022; Zbl 1522.81687) Full Text: DOI arXiv
Frahm, Holger; Gehrmann, Sascha Finite size spectrum of the staggered six-vertex model with \(\mathrm{U_q}(\mathfrak{sl}(2))\)-invariant boundary conditions. (English) Zbl 1521.81308 J. High Energy Phys. 2022, No. 1, Paper No. 70, 32 p. (2022). MSC: 81T40 82B23 81R50 17B37 PDFBibTeX XMLCite \textit{H. Frahm} and \textit{S. Gehrmann}, J. High Energy Phys. 2022, No. 1, Paper No. 70, 32 p. (2022; Zbl 1521.81308) Full Text: DOI arXiv
Skrypnyk, Taras The generalized Lipkin-Meshkov-Glick model and the modified algebraic Bethe ansatz. (English) Zbl 1513.81079 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 074, 18 p. (2022). MSC: 81R12 82B23 17B80 PDFBibTeX XMLCite \textit{T. Skrypnyk}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 074, 18 p. (2022; Zbl 1513.81079) Full Text: DOI arXiv
Frenkel, Edward; Hernandez, David; Reshetikhin, Nicolai Folded quantum integrable models and deformed \(W\)-algebras. (English) Zbl 1513.81077 Lett. Math. Phys. 112, No. 4, Paper No. 80, 86 p. (2022). MSC: 81R10 81R50 82B23 17B37 17B80 81Q80 81R12 PDFBibTeX XMLCite \textit{E. Frenkel} et al., Lett. Math. Phys. 112, No. 4, Paper No. 80, 86 p. (2022; Zbl 1513.81077) Full Text: DOI arXiv
Gombor, Tamás On exact overlaps for \(\mathfrak{gl}(N)\) symmetric spin chains. (English) Zbl 1507.82023 Nucl. Phys., B 983, Article ID 115909, 90 p. (2022). MSC: 82B23 05C05 81R12 PDFBibTeX XMLCite \textit{T. Gombor}, Nucl. Phys., B 983, Article ID 115909, 90 p. (2022; Zbl 1507.82023) Full Text: DOI arXiv
Hammond, Alan Brownian regularity for the Airy line ensemble, and multi-polymer watermelons in Brownian last passage percolation. (English) Zbl 1506.82002 Memoirs of the American Mathematical Society 1363. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5229-2/pbk; 978-1-4704-7095-1/ebook). v, 133 p. (2022). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82-02 82B23 82B43 82C31 82D60 60H15 60J65 60K35 60G55 60B20 15A18 15B52 35Q82 35R60 PDFBibTeX XMLCite \textit{A. Hammond}, Brownian regularity for the Airy line ensemble, and multi-polymer watermelons in Brownian last passage percolation. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 1506.82002) Full Text: DOI arXiv
Lamers, Jules; Pasquier, Vincent; Serban, Didina Spin-Ruijsenaars, \(q\)-deformed Haldane-Shastry and Macdonald polynomials. (English) Zbl 1519.82028 Commun. Math. Phys. 393, No. 1, 61-150 (2022). MSC: 82B23 20C08 20G42 33D52 81R50 PDFBibTeX XMLCite \textit{J. Lamers} et al., Commun. Math. Phys. 393, No. 1, 61--150 (2022; Zbl 1519.82028) Full Text: DOI arXiv
Bisi, Elia; Zygouras, Nikos Transition between characters of classical groups, decomposition of Gelfand-Tsetlin patterns and last passage percolation. (English) Zbl 1490.05270 Adv. Math. 404, Part B, Article ID 108453, 72 p. (2022). MSC: 05E05 60C05 60F05 05E10 82B23 20G05 20G20 PDFBibTeX XMLCite \textit{E. Bisi} and \textit{N. Zygouras}, Adv. Math. 404, Part B, Article ID 108453, 72 p. (2022; Zbl 1490.05270) Full Text: DOI arXiv
Talalaev, D. V. Vertex electrical model: Lagrangian and nonnegativity properties. (English. Russian original) Zbl 1515.37074 Theor. Math. Phys. 210, No. 2, 216-223 (2022); translation from Teor. Mat. Fiz. 210, No. 2, 250-258 (2022). MSC: 37K20 37K10 82B23 PDFBibTeX XMLCite \textit{D. V. Talalaev}, Theor. Math. Phys. 210, No. 2, 216--223 (2022; Zbl 1515.37074); translation from Teor. Mat. Fiz. 210, No. 2, 250--258 (2022) Full Text: DOI arXiv
Chernyak, Dmitry; Leurent, Sébastien; Volin, Dmytro Completeness of Wronskian Bethe equations for rational \(\mathfrak{gl}_{\mathsf{m}|\mathsf{n}}\) spin chains. (English) Zbl 1487.82007 Commun. Math. Phys. 391, No. 3, 969-1045 (2022). MSC: 82B23 81R12 17B37 82B20 81R50 PDFBibTeX XMLCite \textit{D. Chernyak} et al., Commun. Math. Phys. 391, No. 3, 969--1045 (2022; Zbl 1487.82007) Full Text: DOI arXiv
Slavnov, Nikita Algebraic Bethe ansatz and correlation functions. An advanced course. (English) Zbl 1520.82002 Singapore: World Scientific (ISBN 978-981-12-5425-3/hbk; 978-981-12-5427-7/ebook). xvii, 380 p. (2022). MSC: 82-01 82B23 81R12 PDFBibTeX XMLCite \textit{N. Slavnov}, Algebraic Bethe ansatz and correlation functions. An advanced course. Singapore: World Scientific (2022; Zbl 1520.82002) Full Text: DOI
Carmelo, José M. P.; Sacramento, Pedro D. The role of \(q\)-spin singlet pairs of physical spins in the dynamical properties of the spin-1/2 Heisenberg-Ising XXZ chain. (English) Zbl 1484.82028 Nucl. Phys., B 974, Article ID 115610, 52 p. (2022); corrigendum ibid. 997, Article ID 116385, 2 p. (2023). MSC: 82C20 82B23 82D40 81R50 PDFBibTeX XMLCite \textit{J. M. P. Carmelo} and \textit{P. D. Sacramento}, Nucl. Phys., B 974, Article ID 115610, 52 p. (2022; Zbl 1484.82028) Full Text: DOI arXiv
Bump, Daniel; Naprienko, Slava Colored Bosonic Models and Matrix Coefficients. arXiv:2211.15850 Preprint, arXiv:2211.15850 [math.RT] (2022). MSC: 82B23 05E05 16T25 22E50 17B37 11F70 BibTeX Cite \textit{D. Bump} and \textit{S. Naprienko}, ``Colored Bosonic Models and Matrix Coefficients'', Preprint, arXiv:2211.15850 [math.RT] (2022) Full Text: arXiv OA License
Cao, Yusong; Wang, Jian; Qiao, Yi; Cao, Junpeng; Yang, Wen-Li Exact solution of an anisotropic \(J_1\)-\(J_2\) model with the Dzyloshinsky-Moriya interactions at boundaries. (English) Zbl 1521.82009 Commun. Theor. Phys. 73, No. 7, Article ID 075001, 6 p. (2021). MSC: 82B23 81R12 82B10 81R50 16T25 PDFBibTeX XMLCite \textit{Y. Cao} et al., Commun. Theor. Phys. 73, No. 7, Article ID 075001, 6 p. (2021; Zbl 1521.82009) Full Text: DOI
Burenev, Ivan N.; Pronko, Andrei G. Determinant formulas for the five-vertex model. (English) Zbl 1519.82024 J. Phys. A, Math. Theor. 54, No. 5, Article ID 055008, 32 p. (2021). MSC: 82B23 81R12 82B20 PDFBibTeX XMLCite \textit{I. N. Burenev} and \textit{A. G. Pronko}, J. Phys. A, Math. Theor. 54, No. 5, Article ID 055008, 32 p. (2021; Zbl 1519.82024) Full Text: DOI arXiv
Seibold, Fiona K.; Sfondrini, Alessandro Bethe ansatz for quantum-deformed strings. (English) Zbl 1521.81236 J. High Energy Phys. 2021, No. 12, Paper No. 15, 34 p. (2021). MSC: 81T30 81T60 81R12 81T35 81T40 81R50 82B23 PDFBibTeX XMLCite \textit{F. K. Seibold} and \textit{A. Sfondrini}, J. High Energy Phys. 2021, No. 12, Paper No. 15, 34 p. (2021; Zbl 1521.81236) Full Text: DOI arXiv
Varchenko, Alexander N.; Slinkin, Alexey M.; Thompson, Daniel Dynamical \(\mathfrak{sl}_2\) Bethe algebra and functions on pairs of quasi-polynomials. (English. Russian original) Zbl 1508.81873 Russ. Math. Surv. 76, No. 4, 653-684 (2021); translation from Usp. Mat. Nauk 76, No. 4, 105-138 (2021). MSC: 81R05 17B10 17B80 37J37 PDFBibTeX XMLCite \textit{A. N. Varchenko} et al., Russ. Math. Surv. 76, No. 4, 653--684 (2021; Zbl 1508.81873); translation from Usp. Mat. Nauk 76, No. 4, 105--138 (2021) Full Text: DOI arXiv
Kitanine, Nikolai; Kulkarni, Giridhar Form factors of the Heisenberg spin chain in the thermodynamic limit: dealing with complex Bethe roots. (English) Zbl 1484.81094 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 112, 25 p. (2021). MSC: 81U15 81U40 45F05 82B20 82B23 62H20 PDFBibTeX XMLCite \textit{N. Kitanine} and \textit{G. Kulkarni}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 112, 25 p. (2021; Zbl 1484.81094) Full Text: DOI arXiv
Zhu, Yizi; Deng, Yue; Sun, Chunfang The \(q\)-deformed Haldane-Shastry spin chain model and the corresponding topological basis realization. (English) Zbl 1476.82003 Int. J. Theor. Phys. 60, No. 11-12, 4112-4121 (2021). MSC: 82B20 82B23 60K35 81R50 81R12 PDFBibTeX XMLCite \textit{Y. Zhu} et al., Int. J. Theor. Phys. 60, No. 11--12, 4112--4121 (2021; Zbl 1476.82003) Full Text: DOI
Belliard, S.; Slavnov, N. A. Overlap between usual and modified Bethe vectors. (English. Russian original) Zbl 1482.82046 Theor. Math. Phys. 209, No. 1, 1387-1402 (2021); translation from Teor. Mat. Fiz. 209, No. 1, 82-100 (2021). MSC: 82C23 37C15 81R12 PDFBibTeX XMLCite \textit{S. Belliard} and \textit{N. A. Slavnov}, Theor. Math. Phys. 209, No. 1, 1387--1402 (2021; Zbl 1482.82046); translation from Teor. Mat. Fiz. 209, No. 1, 82--100 (2021) Full Text: DOI arXiv
Jimbo, Michio; Miwa, Tetsuji; Smirnov, Fedor Local operators in integrable models I. (English) Zbl 1492.82004 Mathematical Surveys and Monographs 256. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6552-0/pbk; 978-1-4704-6576-6/ebook). xii, 192 p. (2021). Reviewer: Nenad Manojlović (Faro) MSC: 82-02 82B20 82B23 82D40 16T20 16T25 17B37 81T40 81R50 PDFBibTeX XMLCite \textit{M. Jimbo} et al., Local operators in integrable models I. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1492.82004)
Nepomechie, Rafael I.; Retore, Ana L. Spin chains with boundary inhomogeneities. (English) Zbl 1469.83015 J. High Energy Phys. 2021, No. 8, Paper No. 53, 15 p. (2021). MSC: 83C60 83C27 81R12 81R50 PDFBibTeX XMLCite \textit{R. I. Nepomechie} and \textit{A. L. Retore}, J. High Energy Phys. 2021, No. 8, Paper No. 53, 15 p. (2021; Zbl 1469.83015) Full Text: DOI arXiv
Semenov-Tian-Shansky, Michael Quantum Toda lattice: a challenge for representation theory. (English) Zbl 1504.17023 Novikov, Sergey (ed.) et al., Integrability, quantization, and geometry I. Integrable systems. Dedicated to the memory of Boris Dubrovin 1950–2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 103, Part 1, 403-428 (2021). MSC: 17B37 22E30 20G42 81R50 82B23 PDFBibTeX XMLCite \textit{M. Semenov-Tian-Shansky}, Proc. Symp. Pure Math. 103, 403--428 (2021; Zbl 1504.17023) Full Text: arXiv
Liashyk, A.; Pakuliak, S. Z. Algebraic Bethe ansatz for \(\mathfrak{o}_{2n+1}\)-invariant integrable models. (English. Russian original) Zbl 1467.81054 Theor. Math. Phys. 206, No. 1, 19-39 (2021); translation from Teor. Mat. Fiz. 206, No. 1, 23-46 (2021). MSC: 81Q80 81Q40 82B23 81R10 14D05 PDFBibTeX XMLCite \textit{A. Liashyk} and \textit{S. Z. Pakuliak}, Theor. Math. Phys. 206, No. 1, 19--39 (2021; Zbl 1467.81054); translation from Teor. Mat. Fiz. 206, No. 1, 23--46 (2021) Full Text: DOI arXiv
Felder, Giovanni Poncelet property and quasi-periodicity of the integrable Boltzmann system. (English) Zbl 1475.37062 Lett. Math. Phys. 111, No. 1, Paper No. 12, 19 p. (2021). MSC: 37J35 37J40 37J38 14H70 82B23 PDFBibTeX XMLCite \textit{G. Felder}, Lett. Math. Phys. 111, No. 1, Paper No. 12, 19 p. (2021; Zbl 1475.37062) Full Text: DOI arXiv
Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Gustafsson, Henrik P. A. Iwahori-metaplectic duality. arXiv:2112.14670 Preprint, arXiv:2112.14670 [math.RT] (2021). MSC: 82B23 22E50 16T25 05E05 17B37 17B69 BibTeX Cite \textit{B. Brubaker} et al., ``Iwahori-metaplectic duality'', Preprint, arXiv:2112.14670 [math.RT] (2021) Full Text: arXiv OA License
Pomoni, Elli 4D \(\mathcal{N} = 2\) SCFTs and spin chains. (English) Zbl 1519.81438 J. Phys. A, Math. Theor. 53, No. 28, Article ID 283005, 44 p. (2020). MSC: 81T35 81T40 81T13 81T30 81R10 81R50 82B23 PDFBibTeX XMLCite \textit{E. Pomoni}, J. Phys. A, Math. Theor. 53, No. 28, Article ID 283005, 44 p. (2020; Zbl 1519.81438) Full Text: DOI arXiv
Levkovich-Maslyuk, F. A review of the AdS/CFT quantum spectral curve. (English) Zbl 1519.81434 J. Phys. A, Math. Theor. 53, No. 28, Article ID 283004, 28 p. (2020). MSC: 81T35 81T40 81T13 81T30 81R10 81R50 82B23 PDFBibTeX XMLCite \textit{F. Levkovich-Maslyuk}, J. Phys. A, Math. Theor. 53, No. 28, Article ID 283004, 28 p. (2020; Zbl 1519.81434) Full Text: DOI arXiv
Vlaar, Bart; Weston, Robert A \(Q\)-operator for open spin chains. I: Baxter’s TQ relation. (English) Zbl 1519.82035 J. Phys. A, Math. Theor. 53, No. 24, Article ID 245205, 47 p. (2020). MSC: 82B23 81R50 81U15 81Q80 16T25 PDFBibTeX XMLCite \textit{B. Vlaar} and \textit{R. Weston}, J. Phys. A, Math. Theor. 53, No. 24, Article ID 245205, 47 p. (2020; Zbl 1519.82035) Full Text: DOI arXiv
Nieto Garcia, Juan Miguel; Torrielli, Alessandro Norms and scalar products for \(AdS_3\). (English) Zbl 1514.81218 J. Phys. A, Math. Theor. 53, No. 14, Article ID 145401, 33 p. (2020). MSC: 81T30 81R12 81T35 PDFBibTeX XMLCite \textit{J. M. Nieto Garcia} and \textit{A. Torrielli}, J. Phys. A, Math. Theor. 53, No. 14, Article ID 145401, 33 p. (2020; Zbl 1514.81218) Full Text: DOI arXiv
Slavnov, N. A. Introduction to the algebraic Bethe ansatz. (English) Zbl 1483.82003 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser. Trends Math., 363-371 (2020). Reviewer: Takeo Kojima (Yonezawa) MSC: 82B23 81R50 37K10 15A18 81U40 PDFBibTeX XMLCite \textit{N. A. Slavnov}, in: Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 -- July 6, 2019. Cham: Birkhäuser. 363--371 (2020; Zbl 1483.82003) Full Text: DOI
Gerrard, Allan; Regelskis, Vidas Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains. (English) Zbl 1479.82017 Nucl. Phys., B 952, Article ID 114909, 67 p. (2020). MSC: 82B20 82B23 81R12 81R50 17B37 PDFBibTeX XMLCite \textit{A. Gerrard} and \textit{V. Regelskis}, Nucl. Phys., B 952, Article ID 114909, 67 p. (2020; Zbl 1479.82017) Full Text: DOI arXiv
Barraquand, Guillaume; Rychnovsky, Mark Large deviations for sticky Brownian motions. (English) Zbl 1462.60035 Electron. J. Probab. 25, Paper No. 119, 52 p. (2020). MSC: 60F10 60B20 15B52 82B23 82B21 82C22 60J65 PDFBibTeX XMLCite \textit{G. Barraquand} and \textit{M. Rychnovsky}, Electron. J. Probab. 25, Paper No. 119, 52 p. (2020; Zbl 1462.60035) Full Text: DOI arXiv Euclid
Hutsalyuk, A.; Liashyk, A.; Pakuliak, S. Z.; Ragoucy, E.; Slavnov, N. A. Actions of the monodromy matrix elements onto \(\mathfrak{g}\mathfrak{l}\left(m\vert n\right)\)-invariant Bethe vectors. (English) Zbl 1459.82069 J. Stat. Mech. Theory Exp. 2020, No. 9, Article ID 093104, 31 p. (2020). MSC: 82B23 17B37 81R12 PDFBibTeX XMLCite \textit{A. Hutsalyuk} et al., J. Stat. Mech. Theory Exp. 2020, No. 9, Article ID 093104, 31 p. (2020; Zbl 1459.82069) Full Text: DOI arXiv
Jing, Naihuan; Li, Zhijun; Cai, Tommy Wuxing Correlation functions of charged free boson and fermion systems. (English) Zbl 1459.81056 J. Stat. Mech. Theory Exp. 2020, No. 8, Article ID 083101, 27 p. (2020). MSC: 81R12 05E05 17B37 17B80 81R10 PDFBibTeX XMLCite \textit{N. Jing} et al., J. Stat. Mech. Theory Exp. 2020, No. 8, Article ID 083101, 27 p. (2020; Zbl 1459.81056) Full Text: DOI arXiv
Masoero, Davide; Raimondo, Andrea Opers for higher states of the quantum Boussinesq model. (English) Zbl 1469.37051 Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 55-78 (2020). Reviewer: Nasir N. Ganikhodjaev (Tashkent) MSC: 37K30 81U15 35Q40 82B23 PDFBibTeX XMLCite \textit{D. Masoero} and \textit{A. Raimondo}, Springer Proc. Math. Stat. 338, 55--78 (2020; Zbl 1469.37051) Full Text: DOI arXiv
Rybnikov, Leonid A proof of the Gaudin Bethe ansatz conjecture. (English) Zbl 1460.37057 Int. Math. Res. Not. 2020, No. 22, 8766-8785 (2020). MSC: 37J37 37J35 17B80 82B23 PDFBibTeX XMLCite \textit{L. Rybnikov}, Int. Math. Res. Not. 2020, No. 22, 8766--8785 (2020; Zbl 1460.37057) Full Text: DOI arXiv
Liashyk, Andrii; Pakuliak, Stanislav Z. Gauss coordinates vs currents for the Yangian doubles of the classical types. (English) Zbl 1462.82014 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 120, 23 p. (2020). Reviewer: Nasir N. Ganikhodjaev (Tashkent) MSC: 82B23 81R12 81R50 17B80 PDFBibTeX XMLCite \textit{A. Liashyk} and \textit{S. Z. Pakuliak}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 120, 23 p. (2020; Zbl 1462.82014) Full Text: DOI arXiv
Pan, Feng; Li, Dongkang; Cui, Sai; Zhang, Yú; Feng, Ziwei; Draayer, Jerry P. Exact solution of the extended dimer Bose-Hubbard model with multi-body interactions. (English) Zbl 1457.82102 J. Stat. Mech. Theory Exp. 2020, No. 4, Article ID 043102, 14 p. (2020). MSC: 82B23 82B10 PDFBibTeX XMLCite \textit{F. Pan} et al., J. Stat. Mech. Theory Exp. 2020, No. 4, Article ID 043102, 14 p. (2020; Zbl 1457.82102) Full Text: DOI
Bajnok, Zoltan; Jacobsen, Jesper Lykke; Jiang, Yunfeng; Nepomechie, Rafael I.; Zhang, Yang Cylinder partition function of the 6-vertex model from algebraic geometry. (English) Zbl 1437.81060 J. High Energy Phys. 2020, No. 6, Paper No. 169, 57 p. (2020). MSC: 81T25 80A10 PDFBibTeX XMLCite \textit{Z. Bajnok} et al., J. High Energy Phys. 2020, No. 6, Paper No. 169, 57 p. (2020; Zbl 1437.81060) Full Text: DOI arXiv
Skrypnyk, T. Separation of variables, Lax-integrable systems and \(gl(2) \otimes gl(2)\)-valued classical \(r\)-matrices. (English) Zbl 1450.37054 J. Geom. Phys. 155, Article ID 103733, 16 p. (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J37 17B80 82B23 PDFBibTeX XMLCite \textit{T. Skrypnyk}, J. Geom. Phys. 155, Article ID 103733, 16 p. (2020; Zbl 1450.37054) Full Text: DOI
Granet, Etienne; Jacobsen, Jesper Lykke On zero-remainder conditions in the Bethe ansatz. (English) Zbl 1435.81144 J. High Energy Phys. 2020, No. 3, Paper No. 178, 15 p. (2020). MSC: 81T25 81R12 81R50 PDFBibTeX XMLCite \textit{E. Granet} and \textit{J. L. Jacobsen}, J. High Energy Phys. 2020, No. 3, Paper No. 178, 15 p. (2020; Zbl 1435.81144) Full Text: DOI arXiv
Bajnok, Zoltán; Granet, Etienne; Jacobsen, Jesper Lykke; Nepomechie, Rafael I. On generalized \(Q\)-systems. (English) Zbl 1435.81142 J. High Energy Phys. 2020, No. 3, Paper No. 177, 27 p. (2020). MSC: 81T25 81R12 81R50 PDFBibTeX XMLCite \textit{Z. Bajnok} et al., J. High Energy Phys. 2020, No. 3, Paper No. 177, 27 p. (2020; Zbl 1435.81142) Full Text: DOI arXiv
Scrimshaw, Travis Uniform description of the rigged configuration bijection. (English) Zbl 1442.05244 Sel. Math., New Ser. 26, No. 3, Paper No. 42, 84 p. (2020). MSC: 05E10 17B37 05A19 81R50 82B23 PDFBibTeX XMLCite \textit{T. Scrimshaw}, Sel. Math., New Ser. 26, No. 3, Paper No. 42, 84 p. (2020; Zbl 1442.05244) Full Text: DOI arXiv
Magnano, Guido; Skrypnyk, Taras New separation of variables for the classical \(XXX\) and \(XXZ\) Heisenberg spin chains. (English) Zbl 1444.37049 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 047, 27 p. (2020). MSC: 37J35 37J37 17B80 82B23 PDFBibTeX XMLCite \textit{G. Magnano} and \textit{T. Skrypnyk}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 047, 27 p. (2020; Zbl 1444.37049) Full Text: DOI arXiv
Borodin, Alexei Symmetric elliptic functions, IRF models, and dynamic exclusion processes. (English) Zbl 1465.60083 J. Eur. Math. Soc. (JEMS) 22, No. 5, 1353-1421 (2020). Reviewer: Arvind Ayyer (Bangalore) MSC: 60K35 05E05 82B23 PDFBibTeX XMLCite \textit{A. Borodin}, J. Eur. Math. Soc. (JEMS) 22, No. 5, 1353--1421 (2020; Zbl 1465.60083) Full Text: DOI arXiv
Zhou, Yinfei; Wan, Shuchao; Bai, Yang; Yan, Zhaowen Three types generalized \(Z_n\)-Heisenberg ferromagnet models. (English) Zbl 1476.37082 Adv. Math. Phys. 2020, Article ID 2076074, 7 p. (2020). Reviewer: Marco Rossi (Arcavacata di Rende) MSC: 37K30 35Q55 82B23 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Adv. Math. Phys. 2020, Article ID 2076074, 7 p. (2020; Zbl 1476.37082) Full Text: DOI
Gurevich, Dimitri; Saponov, Pavel; Slinkin, Alexey Bethe subalgebras in braided Yangians and Gaudin-type models. (English) Zbl 1475.37063 Commun. Math. Phys. 374, No. 2, 689-704 (2020). Reviewer: Kazuhiro Hikami (Fukuoka) MSC: 37J37 37J35 20C08 82B23 16T05 16T25 17B37 18M15 81R12 PDFBibTeX XMLCite \textit{D. Gurevich} et al., Commun. Math. Phys. 374, No. 2, 689--704 (2020; Zbl 1475.37063) Full Text: DOI arXiv
Kuniba, Atsuo; Lyu, Hanbaek Large deviations and one-sided scaling limit of randomized multicolor box-ball system. (English) Zbl 1437.37016 J. Stat. Phys. 178, No. 1, 38-74 (2020). Reviewer: Armand Azonnahin (São Paulo) MSC: 37B15 37A30 37A50 81R50 17B37 82B23 PDFBibTeX XMLCite \textit{A. Kuniba} and \textit{H. Lyu}, J. Stat. Phys. 178, No. 1, 38--74 (2020; Zbl 1437.37016) Full Text: DOI arXiv
Pushkar, Petr P.; Smirnov, Andrey V.; Zeitlin, Anton M. Baxter \(Q\)-operator from quantum \(K\)-theory. (English) Zbl 1447.82012 Adv. Math. 360, Article ID 106919, 63 p. (2020). MSC: 82B23 82B20 81R50 16T25 82D40 81R12 19E99 PDFBibTeX XMLCite \textit{P. P. Pushkar} et al., Adv. Math. 360, Article ID 106919, 63 p. (2020; Zbl 1447.82012) Full Text: DOI arXiv
Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Gustafsson, Henrik P. A. Metaplectic Iwahori Whittaker functions and supersymmetric lattice models. arXiv:2012.15778 Preprint, arXiv:2012.15778 [math.RT] (2020). MSC: 22E50 82B23 16T25 05E05 17B37 11F70 BibTeX Cite \textit{B. Brubaker} et al., ``Metaplectic Iwahori Whittaker functions and supersymmetric lattice models'', Preprint, arXiv:2012.15778 [math.RT] (2020) Full Text: arXiv OA License
Nepomechie, Rafael I.; Pimenta, Rodrigo A.; Retore, Ana L. Towards the solution of an integrable \(D_2^{(2)}\) spin chain. (English) Zbl 1509.82042 J. Phys. A, Math. Theor. 52, No. 43, Article ID 434004, 17 p. (2019). MSC: 82B23 81U15 81R50 PDFBibTeX XMLCite \textit{R. I. Nepomechie} et al., J. Phys. A, Math. Theor. 52, No. 43, Article ID 434004, 17 p. (2019; Zbl 1509.82042) Full Text: DOI arXiv
Frahm, Holger; Morin-Duchesne, Alexi; Pearce, Paul A. Extended \(T\)-systems, \(Q\) matrices and \(T\)-\(Q\) relations for \(s\ell(2)\) models at roots of unity. (English) Zbl 1509.81593 J. Phys. A, Math. Theor. 52, No. 28, Article ID 285001, 38 p. (2019). MSC: 81U15 81Q80 81R50 81R12 82B23 17B69 17B80 17B37 PDFBibTeX XMLCite \textit{H. Frahm} et al., J. Phys. A, Math. Theor. 52, No. 28, Article ID 285001, 38 p. (2019; Zbl 1509.81593) Full Text: DOI arXiv
Jacobsen, Jesper Lykke Integrability in statistical physics and quantum spin chains. (English) Zbl 1446.82013 Dorey, Patrick (ed.) et al., Integrability: from statistical systems to gauge theory. Lecture notes of the Les Houches summer school. Volume 106, Les Houches, France, June 6 – July 1, 2016. Oxford: Oxford University Press. 1-59 (2019). MSC: 82B20 82B23 81T27 17B69 82D60 81T40 PDFBibTeX XMLCite \textit{J. L. Jacobsen}, in: Integrability: from statistical systems to gauge theory. Lecture notes of the Les Houches summer school. Volume 106, Les Houches, France, June 6 -- July 1, 2016. Oxford: Oxford University Press. 1--59 (2019; Zbl 1446.82013) Full Text: DOI
Liashyk, A. N.; Pakuliak, S. Z.; Ragoucy, E.; Slavnov, N. A. Bethe vectors for orthogonal integrable models. (English. Russian original) Zbl 1441.81106 Theor. Math. Phys. 201, No. 2, 1545-1564 (2019); translation from Teor. Mat. Fiz. 201, No. 2, 153-174 (2019). MSC: 81Q80 81Q40 16T25 82B23 82C23 17B20 17B45 14D05 PDFBibTeX XMLCite \textit{A. N. Liashyk} et al., Theor. Math. Phys. 201, No. 2, 1545--1564 (2019; Zbl 1441.81106); translation from Teor. Mat. Fiz. 201, No. 2, 153--174 (2019) Full Text: DOI arXiv
Sinclair, Christopher D.; Yattselev, Maxim L. The reciprocal Mahler ensembles of random polynomials. (English) Zbl 1437.15051 Random Matrices Theory Appl. 8, No. 4, Article ID 1950012, 38 p. (2019). MSC: 15B52 60B20 60G55 82B23 15A15 11C20 PDFBibTeX XMLCite \textit{C. D. Sinclair} and \textit{M. L. Yattselev}, Random Matrices Theory Appl. 8, No. 4, Article ID 1950012, 38 p. (2019; Zbl 1437.15051) Full Text: DOI arXiv
Li, Guang-Liang; Cao, Junpeng; Xue, Panpan; Hao, Kun; Sun, Pei; Yang, Wen-Li; Shi, Kangjie; Wang, Yupeng Off-diagonal Bethe Ansatz on the so(5) spin chain. (English) Zbl 1430.82005 Nucl. Phys., B 946, Article ID 114719, 37 p. (2019). MSC: 82B20 82B23 20G15 17B45 PDFBibTeX XMLCite \textit{G.-L. Li} et al., Nucl. Phys., B 946, Article ID 114719, 37 p. (2019; Zbl 1430.82005) Full Text: DOI arXiv
Frahm, Holger; Hobuß, Konstantin; Martins, Márcio J. On the critical behaviour of the integrable \(q\)-deformed OSp(3|2) superspin chain. (English) Zbl 1430.82004 Nucl. Phys., B 946, Article ID 114697, 48 p. (2019). MSC: 82B20 82B23 81R50 17B37 35B33 PDFBibTeX XMLCite \textit{H. Frahm} et al., Nucl. Phys., B 946, Article ID 114697, 48 p. (2019; Zbl 1430.82004) Full Text: DOI arXiv
Belousov, N. M.; Derkachov, S. E. The Q-operator for the quantum NLS model. (English. Russian original) Zbl 1431.82003 J. Math. Sci., New York 242, No. 5, 608-627 (2019); translation from Zap. Nauchn. Semin. POMI 473, 34-65 (2018). MSC: 82B20 82B23 35Q55 17B81 16T25 81R50 PDFBibTeX XMLCite \textit{N. M. Belousov} and \textit{S. E. Derkachov}, J. Math. Sci., New York 242, No. 5, 608--627 (2019; Zbl 1431.82003); translation from Zap. Nauchn. Semin. POMI 473, 34--65 (2018) Full Text: DOI arXiv
Belliard, Samuel; Slavnov, Nikita A. Scalar products in twisted XXX spin chain. Determinant representation. (English) Zbl 1428.82020 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 066, 30 p. (2019). MSC: 82B23 81R50 PDFBibTeX XMLCite \textit{S. Belliard} and \textit{N. A. Slavnov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 066, 30 p. (2019; Zbl 1428.82020) Full Text: DOI arXiv
Molev, Alexander; Ragoucy, Eric Higher-order Hamiltonians for the trigonometric Gaudin model. (English) Zbl 1425.81060 Lett. Math. Phys. 109, No. 9, 2035-2048 (2019). MSC: 81R50 17B37 82B20 82B23 PDFBibTeX XMLCite \textit{A. Molev} and \textit{E. Ragoucy}, Lett. Math. Phys. 109, No. 9, 2035--2048 (2019; Zbl 1425.81060) Full Text: DOI arXiv
Takebe, Takashi \(Q\)-operators for higher spin eight vertex models with a rational anisotropy parameter. (English) Zbl 1425.82006 Lett. Math. Phys. 109, No. 8, 1867-1890 (2019). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B23 81R50 PDFBibTeX XMLCite \textit{T. Takebe}, Lett. Math. Phys. 109, No. 8, 1867--1890 (2019; Zbl 1425.82006) Full Text: DOI arXiv
Vieira, R. S.; Lima-Santos, A. The algebraic Bethe ansatz and combinatorial trees. (English) Zbl 1426.82019 J. Integrable Syst. 4, Article ID xyz002, 39 p. (2019). MSC: 82B23 82B20 PDFBibTeX XMLCite \textit{R. S. Vieira} and \textit{A. Lima-Santos}, J. Integrable Syst. 4, Article ID xyz002, 39 p. (2019; Zbl 1426.82019) Full Text: DOI arXiv
Burdík, Č.; Navrátil, O. Nested Bethe ansatz for the RTT algebra of \(sp(4)\) type. (English. Russian original) Zbl 1419.81019 Theor. Math. Phys. 198, No. 1, 1-16 (2019); translation from Teor. Mat. Fiz. 198, No. 1, 3-18 (2019). MSC: 81Q80 82B23 17B10 17B45 20G30 PDFBibTeX XMLCite \textit{Č. Burdík} and \textit{O. Navrátil}, Theor. Math. Phys. 198, No. 1, 1--16 (2019; Zbl 1419.81019); translation from Teor. Mat. Fiz. 198, No. 1, 3--18 (2019) Full Text: DOI arXiv
Knutson, Allen; Zinn-Justin, Paul Grassmann-Grassmann conormal varieties, integrability, and plane partitions. (Variétés conormales Grassmann-Grassmann, intégrabilité et partitions planes.) (English. French summary) Zbl 1471.14104 Ann. Inst. Fourier 69, No. 3, 1087-1145 (2019). Reviewer: Richárd Rimányi (Chapel Hill) MSC: 14M15 14C35 82B23 PDFBibTeX XMLCite \textit{A. Knutson} and \textit{P. Zinn-Justin}, Ann. Inst. Fourier 69, No. 3, 1087--1145 (2019; Zbl 1471.14104) Full Text: DOI arXiv
Jacobsen, Jesper Lykke; Jiang, Yunfeng; Zhang, Yang Torus partition function of the six-vertex model from algebraic geometry. (English) Zbl 1414.81177 J. High Energy Phys. 2019, No. 3, Paper No. 152, 47 p. (2019). MSC: 81T25 81R12 16T25 81R50 PDFBibTeX XMLCite \textit{J. L. Jacobsen} et al., J. High Energy Phys. 2019, No. 3, Paper No. 152, 47 p. (2019; Zbl 1414.81177) Full Text: DOI arXiv
Nekrasov, Nikita Superspin chains and supersymmetric gauge theories. (English) Zbl 1414.81247 J. High Energy Phys. 2019, No. 3, Paper No. 102, 17 p. (2019). MSC: 81T60 81T45 17B45 70S15 81R12 PDFBibTeX XMLCite \textit{N. Nekrasov}, J. High Energy Phys. 2019, No. 3, Paper No. 102, 17 p. (2019; Zbl 1414.81247) Full Text: DOI arXiv
Grassi, Alba; Mariño, Marcos A solvable deformation of quantum mechanics. (English) Zbl 1411.81139 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 025, 42 p. (2019). MSC: 81T13 14H81 58C40 81Q60 81Q80 82B23 PDFBibTeX XMLCite \textit{A. Grassi} and \textit{M. Mariño}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 025, 42 p. (2019; Zbl 1411.81139) Full Text: DOI arXiv
Gerrard, Allan; MacKay, Niall; Regelskis, Vidas Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry. (English) Zbl 1416.82012 Ann. Henri Poincaré 20, No. 2, 339-392 (2019). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B23 81R12 17B37 PDFBibTeX XMLCite \textit{A. Gerrard} et al., Ann. Henri Poincaré 20, No. 2, 339--392 (2019; Zbl 1416.82012) Full Text: DOI arXiv Link
Nepomechie, Rafael I.; Retore, Ana L. The spectrum of quantum-group-invariant transfer matrices. (English) Zbl 1406.81049 Nucl. Phys., B 938, 266-297 (2019). MSC: 81R50 82B20 82B23 81S22 17B67 17B81 PDFBibTeX XMLCite \textit{R. I. Nepomechie} and \textit{A. L. Retore}, Nucl. Phys., B 938, 266--297 (2019; Zbl 1406.81049) Full Text: DOI arXiv
Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Gustafsson, Henrik P. A. Colored Vertex Models and Iwahori Whittaker Functions. arXiv:1906.04140 Preprint, arXiv:1906.04140 [math.RT] (2019). MSC: 22E50 11F70 82B23 16T25 05E05 BibTeX Cite \textit{B. Brubaker} et al., ``Colored Vertex Models and Iwahori Whittaker Functions'', Preprint, arXiv:1906.04140 [math.RT] (2019) Full Text: arXiv OA License
Slavnov, N. A. Determinant representations for scalar products in the algebraic Bethe ansatz. (English. Russian original) Zbl 1428.82021 Theor. Math. Phys. 197, No. 3, 1771-1778 (2018); translation from Teor. Mat. Fiz. 197, No. 3, 435-443 (2018). MSC: 82B23 81Q40 PDFBibTeX XMLCite \textit{N. A. Slavnov}, Theor. Math. Phys. 197, No. 3, 1771--1778 (2018; Zbl 1428.82021); translation from Teor. Mat. Fiz. 197, No. 3, 435--443 (2018) Full Text: DOI
Rybnikov, Leonid Cactus group and monodromy of Bethe vectors. (English) Zbl 1458.17009 Int. Math. Res. Not. 2018, No. 1, 202-235 (2018). MSC: 17B35 14H10 82B23 PDFBibTeX XMLCite \textit{L. Rybnikov}, Int. Math. Res. Not. 2018, No. 1, 202--235 (2018; Zbl 1458.17009) Full Text: DOI arXiv