Jia, Zhian; Tan, Sheng; Kaszlikowski, Dagomir; Chang, Liang On weak Hopf symmetry and weak Hopf quantum double model. (English) Zbl 07732085 Commun. Math. Phys. 402, No. 3, 3045-3107 (2023). MSC: 81T10 81R05 20C33 16T05 22E70 81V27 81R40 18M15 57R67 16D90 81Q35 PDFBibTeX XMLCite \textit{Z. Jia} et al., Commun. Math. Phys. 402, No. 3, 3045--3107 (2023; Zbl 07732085) Full Text: DOI arXiv
Choi, Yichul; Córdova, Clay; Hsin, Po-Shen; Lam, Ho Tat; Shao, Shu-Heng Non-invertible condensation, duality, and triality defects in 3+1 dimensions. (English) Zbl 07719661 Commun. Math. Phys. 402, No. 1, 489-542 (2023). MSC: 81T10 22E70 70S15 18M20 58J28 81T40 41A29 81T17 35Q61 81T60 70S15 PDFBibTeX XMLCite \textit{Y. Choi} et al., Commun. Math. Phys. 402, No. 1, 489--542 (2023; Zbl 07719661) Full Text: DOI arXiv
Barata, João C. A.; Jäkel, Christian D.; Mund, Jens The \(\mathscr{P}(\varphi)_2\) model on De Sitter space. (English) Zbl 07653271 Memoirs of the American Mathematical Society 1389. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5548-4/pbk; 978-1-4704-7322-8/ebook). viii, 261 p. (2023). MSC: 81-02 81T05 81T08 81T20 22E43 47L90 PDFBibTeX XMLCite \textit{J. C. A. Barata} et al., The \(\mathscr{P}(\varphi)_2\) model on De Sitter space. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07653271) Full Text: DOI
Copeland, Daniel; Edie-Michell, Cain Classification of pivotal tensor categories with fusion rules related to \(SO(4)\). (English) Zbl 1516.18015 J. Algebra 619, 323-346 (2023). MSC: 18M20 22E46 PDFBibTeX XMLCite \textit{D. Copeland} and \textit{C. Edie-Michell}, J. Algebra 619, 323--346 (2023; Zbl 1516.18015) Full Text: DOI arXiv
Banks, Tom; Zhang, Bingnan Lattice BF theory, dumbbells, and composite fermions. (English) Zbl 1500.81064 Nucl. Phys., B 981, Article ID 115877, 10 p. (2022). MSC: 81T45 81V74 81Q35 81R05 22E70 81V70 70S15 PDFBibTeX XMLCite \textit{T. Banks} and \textit{B. Zhang}, Nucl. Phys., B 981, Article ID 115877, 10 p. (2022; Zbl 1500.81064) Full Text: DOI arXiv
Kristel, Peter; Waldorf, Konrad Fusion of implementers for spinors on the circle. (English) Zbl 1505.53065 Adv. Math. 402, Article ID 108325, 60 p. (2022). Reviewer: Georges Habib (Beirut) MSC: 53C27 53C28 22E66 22D25 30H20 47C15 81R10 PDFBibTeX XMLCite \textit{P. Kristel} and \textit{K. Waldorf}, Adv. Math. 402, Article ID 108325, 60 p. (2022; Zbl 1505.53065) Full Text: DOI arXiv
Lill, Sascha; Tumulka, Roderich Another proof of Born’s rule on arbitrary Cauchy surfaces. (English) Zbl 1495.81010 Ann. Henri Poincaré 23, No. 4, 1489-1524 (2022). MSC: 81P15 81V70 51B20 22E43 06D22 81Q05 35G16 PDFBibTeX XMLCite \textit{S. Lill} and \textit{R. Tumulka}, Ann. Henri Poincaré 23, No. 4, 1489--1524 (2022; Zbl 1495.81010) Full Text: DOI arXiv
Zamani, S.; Akhshabi, S. Gravitational lensing by a black hole in Poincaré gauge theory of gravity. (English) Zbl 1489.83066 Mod. Phys. Lett. A 36, No. 32, Article ID 2150226, 18 p. (2021). MSC: 83C57 83C50 70S15 22E43 81V80 58J52 65C30 PDFBibTeX XMLCite \textit{S. Zamani} and \textit{S. Akhshabi}, Mod. Phys. Lett. A 36, No. 32, Article ID 2150226, 18 p. (2021; Zbl 1489.83066) Full Text: DOI arXiv
Panebianco, Lorenzo Loop groups and QNEC. (English) Zbl 1476.81121 Commun. Math. Phys. 387, No. 1, 397-426 (2021). MSC: 81T40 22E67 35C08 20D06 PDFBibTeX XMLCite \textit{L. Panebianco}, Commun. Math. Phys. 387, No. 1, 397--426 (2021; Zbl 1476.81121) Full Text: DOI arXiv
Carpi, Sebastiano; Del Vecchio, Simone; Iovieno, Stefano; Tanimoto, Yoh Positive energy representations of Sobolev diffeomorphism groups of the circle. (English) Zbl 1458.81027 Anal. Math. Phys. 11, No. 1, Paper No. 12, 36 p. (2021). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 81R10 22E66 22E65 57S05 60J99 17B68 46L10 PDFBibTeX XMLCite \textit{S. Carpi} et al., Anal. Math. Phys. 11, No. 1, Paper No. 12, 36 p. (2021; Zbl 1458.81027) Full Text: DOI arXiv
Guadagnini, Enore; Rottoli, Federico Perturbative BF theory. (English) Zbl 1473.81112 Nucl. Phys., B 954, Article ID 114987, 33 p. (2020). MSC: 81T13 81T15 81T45 22B10 62H20 58J28 53C20 57K10 PDFBibTeX XMLCite \textit{E. Guadagnini} and \textit{F. Rottoli}, Nucl. Phys., B 954, Article ID 114987, 33 p. (2020; Zbl 1473.81112) Full Text: DOI arXiv
Morinelli, Vincenzo; Rehren, Karl-Henning Spacelike deformations: higher-helicity fields from scalar fields. (English) Zbl 1446.81027 Lett. Math. Phys. 110, No. 8, 2019-2038 (2020). MSC: 81T10 81T11 81R05 81R15 22E43 14D15 PDFBibTeX XMLCite \textit{V. Morinelli} and \textit{K.-H. Rehren}, Lett. Math. Phys. 110, No. 8, 2019--2038 (2020; Zbl 1446.81027) Full Text: DOI arXiv
Henriques, André Loop groups and diffeomorphism groups of the circle as colimits. (English) Zbl 1460.58007 Commun. Math. Phys. 366, No. 2, 537-565 (2019). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D05 22E65 22E66 81R10 57S05 PDFBibTeX XMLCite \textit{A. Henriques}, Commun. Math. Phys. 366, No. 2, 537--565 (2019; Zbl 1460.58007) Full Text: DOI arXiv
Henriques, André Conformal nets are factorization algebras. (English) Zbl 1452.81157 Kashani-Poor, Amir-Kian (ed.) et al., String-Math 2016. Proceedings of the conference, Collège de France, Paris, France, June 27 – July 2, 2016. Providence, RI: American Mathematical Society (AMS); Boston, MA: International Press. Proc. Symp. Pure Math. 98, 229-239 (2018). MSC: 81T40 18A32 22E67 PDFBibTeX XMLCite \textit{A. Henriques}, Proc. Symp. Pure Math. 98, 229--239 (2018; Zbl 1452.81157) Full Text: DOI arXiv
Ibrogimov, Orif O. Spectral analysis of the spin-boson Hamiltonian with two photons for arbitrary coupling. (English) Zbl 1401.81064 Ann. Henri Poincaré 19, No. 11, 3561-3579 (2018). MSC: 81T10 81V80 22B10 PDFBibTeX XMLCite \textit{O. O. Ibrogimov}, Ann. Henri Poincaré 19, No. 11, 3561--3579 (2018; Zbl 1401.81064) Full Text: DOI arXiv Link
Kojita, Toshiko; Maccaferri, Carlo; Masuda, Toru; Schnabl, Martin Topological defects in open string field theory. (English) Zbl 1390.83348 J. High Energy Phys. 2018, No. 4, Paper No. 57, 58 p. (2018). MSC: 83E30 81T40 81T45 22D25 PDFBibTeX XMLCite \textit{T. Kojita} et al., J. High Energy Phys. 2018, No. 4, Paper No. 57, 58 p. (2018; Zbl 1390.83348) Full Text: DOI arXiv
Jaffe, Arthur (ed.); Neeb, Karl-Hermann (ed.); Olafsson, Gestur (ed.); Schlein, Benjamin (ed.) Reflection positivity. Abstracts from the workshop held November 26 – December 2, 2017. (English) Zbl 1409.00095 Oberwolfach Rep. 14, No. 4, 3263-3343 (2017). MSC: 00B05 00B25 17B10 22E65 22E70 81T08 22-06 17-06 PDFBibTeX XMLCite \textit{A. Jaffe} (ed.) et al., Oberwolfach Rep. 14, No. 4, 3263--3343 (2017; Zbl 1409.00095) Full Text: DOI
Waldorf, Konrad Transgressive loop group extensions. (English) Zbl 1380.58005 Math. Z. 286, No. 1-2, 325-360 (2017). Reviewer: Dongwen Liu (Zhejiang) MSC: 58B25 53C08 22E67 PDFBibTeX XMLCite \textit{K. Waldorf}, Math. Z. 286, No. 1--2, 325--360 (2017; Zbl 1380.58005) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Neeb, Karl-Hermann; Ólafsson, Gestur Reflection positive stochastic processes indexed by Lie groups. (English) Zbl 1343.22008 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 058, 49 p. (2016). Reviewer: Guy Jumarie (Montréal) MSC: 22E45 60G15 81S40 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 058, 49 p. (2016; Zbl 1343.22008) Full Text: DOI arXiv
Plaschke, Matthias Local anyonic quantum fields on the circle leading to cone-local anyons in two dimensions. (English) Zbl 1317.81188 Lett. Math. Phys. 105, No. 8, 1033-1055 (2015). MSC: 81T05 81T10 81T40 20F36 22E67 PDFBibTeX XMLCite \textit{M. Plaschke}, Lett. Math. Phys. 105, No. 8, 1033--1055 (2015; Zbl 1317.81188) Full Text: DOI arXiv
Merigon, Stéphane; Neeb, Karl-Hermann; Ólafsson, Gestur Integrability of unitary representations on reproducing kernel spaces. (English) Zbl 1355.17005 Represent. Theory 19, 24-55 (2015). MSC: 17B15 22E66 PDFBibTeX XMLCite \textit{S. Merigon} et al., Represent. Theory 19, 24--55 (2015; Zbl 1355.17005) Full Text: DOI arXiv
Dong, Chongying; Jiao, Xiangyu; Xu, Feng Mirror extensions of vertex operator algebras. (English) Zbl 1295.81086 Commun. Math. Phys. 329, No. 1, 263-294 (2014). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 81R10 17B69 14C21 14J33 22E70 81T40 PDFBibTeX XMLCite \textit{C. Dong} et al., Commun. Math. Phys. 329, No. 1, 263--294 (2014; Zbl 1295.81086) Full Text: DOI arXiv
Neeb, Karl-Hermann; Ólafsson, Gestur Reflection positivity and conformal symmetry. (English) Zbl 1290.22006 J. Funct. Anal. 266, No. 4, 2174-2224 (2014). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E45 22E66 PDFBibTeX XMLCite \textit{K.-H. Neeb} and \textit{G. Ólafsson}, J. Funct. Anal. 266, No. 4, 2174--2224 (2014; Zbl 1290.22006) Full Text: DOI arXiv
Horcajada, G.; Ruiz Ruiz, F. Geometric construction of D-branes in WZW models. (English) Zbl 1301.81220 J. High Energy Phys. 2011, No. 9, Paper No. 020, 23 p. (2011). MSC: 81T30 81T40 81R10 22E70 37C30 PDFBibTeX XMLCite \textit{G. Horcajada} and \textit{F. Ruiz Ruiz}, J. High Energy Phys. 2011, No. 9, Paper No. 020, 23 p. (2011; Zbl 1301.81220) Full Text: DOI arXiv
Alekseev, Anton; Mnëv, Pavel One-dimensional Chern-Simons theory. (English) Zbl 1235.81112 Commun. Math. Phys. 307, No. 1, 185-227 (2011). Reviewer: Daniel Moskovich (Singapore) MSC: 81T45 57R56 58D30 57M27 81S22 58J28 81S40 22E70 PDFBibTeX XMLCite \textit{A. Alekseev} and \textit{P. Mnëv}, Commun. Math. Phys. 307, No. 1, 185--227 (2011; Zbl 1235.81112) Full Text: DOI arXiv Link
Tanimoto, Yoh Ground state representations of loop algebras. (English) Zbl 1221.81145 Ann. Henri Poincaré 12, No. 4, 805-827 (2011). Reviewer: T. C. Mohan (Dehra Dun) MSC: 81T40 22E70 22E67 PDFBibTeX XMLCite \textit{Y. Tanimoto}, Ann. Henri Poincaré 12, No. 4, 805--827 (2011; Zbl 1221.81145) Full Text: DOI arXiv
Bachas, C.; Monnier, S. Defect loops in gauged Wess-Zumino-Witten models. (English) Zbl 1270.81195 J. High Energy Phys. 2010, No. 2, Paper No. 003, 40 p. (2010). MSC: 81T40 81T17 81T13 22E70 PDFBibTeX XMLCite \textit{C. Bachas} and \textit{S. Monnier}, J. High Energy Phys. 2010, No. 2, Paper No. 003, 40 p. (2010; Zbl 1270.81195) Full Text: DOI arXiv
Weiner, Mihály Restricting positive energy representations of \(\text{Diff}^{+}(S^{1})\) to the stabilizer of \(n\) points. (English) Zbl 1192.81306 Commun. Math. Phys. 277, No. 2, 555-571 (2008). MSC: 81T40 81R10 22E65 58D05 PDFBibTeX XMLCite \textit{M. Weiner}, Commun. Math. Phys. 277, No. 2, 555--571 (2008; Zbl 1192.81306) Full Text: DOI arXiv
Pinamonti, Nicola On localization and position operators in Möbius-covariant theories. (English) Zbl 1113.81069 Rev. Math. Phys. 19, No. 4, 385-403 (2007). MSC: 81R15 81T20 22E70 46L60 47L90 81R10 81T40 PDFBibTeX XMLCite \textit{N. Pinamonti}, Rev. Math. Phys. 19, No. 4, 385--403 (2007; Zbl 1113.81069) Full Text: DOI arXiv
Köster, S. Local nature of coset models. (English) Zbl 1065.81117 Rev. Math. Phys. 16, No. 3, 353-382 (2004). Reviewer: Eugene Kryachko (Liège) MSC: 81T40 46N50 81R15 22E70 PDFBibTeX XMLCite \textit{S. Köster}, Rev. Math. Phys. 16, No. 3, 353--382 (2004; Zbl 1065.81117) Full Text: DOI arXiv
Cattaneo, Alberto S.; Fröhlich, Jürg; Pedrini, Bill Topological field theory interpretation of string topology. (English) Zbl 1052.81095 Commun. Math. Phys. 240, No. 3, 397-421 (2003). MSC: 81T45 57R56 81T30 81T10 22E70 PDFBibTeX XMLCite \textit{A. S. Cattaneo} et al., Commun. Math. Phys. 240, No. 3, 397--421 (2003; Zbl 1052.81095) Full Text: DOI arXiv Link
Krötz, Bernhard; Neeb, Karl-Hermann; Ólafsson, Gestur Spherical functions on mixed symmetric spaces. (English) Zbl 0989.22017 Represent. Theory 5, 43-92 (2001). Reviewer: J.D.Lawson (Baton Rouge) MSC: 22E30 22E45 43A85 PDFBibTeX XMLCite \textit{B. Krötz} et al., Represent. Theory 5, 43--92 (2001; Zbl 0989.22017) Full Text: DOI
Xu, Feng Jones-Wassermann subfactors for disconnected intervals. (English) Zbl 0966.46043 Commun. Contemp. Math. 2, No. 3, 307-347 (2000). Reviewer: V.M.Manuilov (Moskva) MSC: 46L37 22E67 PDFBibTeX XMLCite \textit{F. Xu}, Commun. Contemp. Math. 2, No. 3, 307--347 (2000; Zbl 0966.46043) Full Text: DOI arXiv
Jørgensen, Palle E. T.; Ólafsson, Gestur Unitary representations of Lie groups with reflection symmetry. (English) Zbl 0911.22012 J. Funct. Anal. 158, No. 1, 26-88 (1998). Reviewer: R.Felix (Eichstätt) MSC: 22E46 22E30 22E27 43A17 43A65 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen} and \textit{G. Ólafsson}, J. Funct. Anal. 158, No. 1, 26--88 (1998; Zbl 0911.22012) Full Text: DOI arXiv
Baez, John C. Higher-dimensional algebra. II: 2-Hilbert spaces. (English) Zbl 0896.18001 Adv. Math. 127, No. 2, 125-189 (1997). MSC: 18D10 81T40 18D05 18D20 18E10 46N50 22A30 PDFBibTeX XMLCite \textit{J. C. Baez}, Adv. Math. 127, No. 2, 125--189 (1997; Zbl 0896.18001) Full Text: DOI arXiv
Varga, Peter Taming of the wild group of magnetic translations. (English) Zbl 0882.22010 J. Math. Phys. 38, No. 4, 1864-1869 (1997). Reviewer: U.Cattaneo (Maggia) MSC: 22E27 22E70 82D25 82D40 PDFBibTeX XMLCite \textit{P. Varga}, J. Math. Phys. 38, No. 4, 1864--1869 (1997; Zbl 0882.22010) Full Text: DOI arXiv
Frochaux, E. Two relativistic boson models in the Schrödinger picture in three space-time dimensions. (English) Zbl 0861.22015 J. Math. Phys. 37, No. 6, 2979-3000 (1996). MSC: 22E70 81R05 PDFBibTeX XMLCite \textit{E. Frochaux}, J. Math. Phys. 37, No. 6, 2979--3000 (1996; Zbl 0861.22015) Full Text: DOI
Bose, S. K. The Galilean group in \(2+1\) space-times and its central extension. (English) Zbl 0826.22020 Commun. Math. Phys. 169, No. 2, 385-395 (1995). MSC: 22E60 53Z05 22E70 PDFBibTeX XMLCite \textit{S. K. Bose}, Commun. Math. Phys. 169, No. 2, 385--395 (1995; Zbl 0826.22020) Full Text: DOI
Ottesen, Johnny T. Projective representations of the loop group and the Boson-Fermion correspondence. (English) Zbl 0881.22014 Rep. Math. Phys. 35, No. 1, 39-61 (1995). MSC: 22E70 PDFBibTeX XMLCite \textit{J. T. Ottesen}, Rep. Math. Phys. 35, No. 1, 39--61 (1995; Zbl 0881.22014) Full Text: DOI
Prado, Humberto Reflection positivity for unitary representations of Lie groups. (English) Zbl 0757.47018 Proc. Am. Math. Soc. 114, No. 3, 723-731 (1992). Reviewer: S.Sridhar (Madras) MSC: 47A67 47D03 22E45 PDFBibTeX XMLCite \textit{H. Prado}, Proc. Am. Math. Soc. 114, No. 3, 723--731 (1992; Zbl 0757.47018) Full Text: DOI
Prado, Humberto E. A geometric construction of local representations of local Lie groups. (English) Zbl 0748.43005 Acta Appl. Math. 25, No. 1, 87-98 (1991). Reviewer: J.Faraut (Paris) MSC: 43A85 43A65 22E05 PDFBibTeX XMLCite \textit{H. E. Prado}, Acta Appl. Math. 25, No. 1, 87--98 (1991; Zbl 0748.43005) Full Text: DOI
Felder, G.; Fröhlich, J.; Keller, G. On the structure of unitary conformal field theory. II: Representation theoretic approach. (English) Zbl 0704.46051 Commun. Math. Phys. 130, No. 1, 1-49 (1990). MSC: 46N50 81T40 17B37 22E70 PDFBibTeX XMLCite \textit{G. Felder} et al., Commun. Math. Phys. 130, No. 1, 1--49 (1990; Zbl 0704.46051) Full Text: DOI
Prado, Humberto Spectral properties for operators in a Lie algebra. (English) Zbl 0681.22010 Proc. Am. Math. Soc. 106, No. 2, 527-530 (1989). MSC: 22E27 46N99 47A67 46L45 17B30 PDFBibTeX XMLCite \textit{H. Prado}, Proc. Am. Math. Soc. 106, No. 2, 527--530 (1989; Zbl 0681.22010) Full Text: DOI
Jørgensen, Palle E. T. Analytic continuation of local representations of symmetric spaces. (English) Zbl 0608.22010 J. Funct. Anal. 70, 304-322 (1987). Reviewer: Palle E.T. Jørgensen MSC: 22E46 47L60 22E47 22E70 53C35 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen}, J. Funct. Anal. 70, 304--322 (1987; Zbl 0608.22010) Full Text: DOI
Schrader, Robert Reflection positivity for the complementary series of SL(2n, \({\mathbb{C}})\). (English) Zbl 0601.22013 Publ. Res. Inst. Math. Sci. 22, 119-141 (1986). Reviewer: G.Loupias MSC: 22E70 81T08 81R10 PDFBibTeX XMLCite \textit{R. Schrader}, Publ. Res. Inst. Math. Sci. 22, 119--141 (1986; Zbl 0601.22013) Full Text: DOI
Völkel, A. H. Unbounded representations of symmetry groups in gauge quantum field theory. II: Integration. (English) Zbl 0592.22018 J. Math. Phys. 27, 1113-1127 (1986). MSC: 22E70 81T60 22E60 PDFBibTeX XMLCite \textit{A. H. Völkel}, J. Math. Phys. 27, 1113--1127 (1986; Zbl 0592.22018) Full Text: DOI
Völkel, A. H. Unbounded representations of symmetry groups in gauge quantum field theory. I: Confinement and differentiation. (English) Zbl 0582.22018 J. Math. Phys. 26, 2956-2973 (1985). MSC: 22E70 81T60 46C99 PDFBibTeX XMLCite \textit{A. H. Völkel}, J. Math. Phys. 26, 2956--2973 (1985; Zbl 0582.22018) Full Text: DOI
Albeverio, Sergio; Blanchard, Phillip; Combe, Ph.; Høegh-Krohn, Raphael; Sirugue, M. Local relativistic invariant flows for quantum fields. (English) Zbl 0538.46053 Commun. Math. Phys. 90, 329-351 (1983). Reviewer: P.Hillion MSC: 46L60 81T05 22E70 46N99 81R10 81T20 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Commun. Math. Phys. 90, 329--351 (1983; Zbl 0538.46053) Full Text: DOI
Klein, Abel; Landau, Lawrence J. From the Euclidean group to the Poincaré group via Osterwalder-Schrader positivity. (English) Zbl 0522.22016 Commun. Math. Phys. 87, 469-484 (1983). MSC: 22E70 81R10 47A25 PDFBibTeX XMLCite \textit{A. Klein} and \textit{L. J. Landau}, Commun. Math. Phys. 87, 469--484 (1983; Zbl 0522.22016) Full Text: DOI