Pérez-Sánchez, Carlos I. Graph calculus and the disconnected-boundary Schwinger-Dyson equations of quartic tensor field theories. (English) Zbl 07300978 Math. Phys. Anal. Geom. 23, No. 4, Paper No. 42, 52 p. (2020). MSC: 81T32 81T45 05A30 05C69 05C25 81T16 18M05 PDF BibTeX XML Cite \textit{C. I. Pérez-Sánchez}, Math. Phys. Anal. Geom. 23, No. 4, Paper No. 42, 52 p. (2020; Zbl 07300978) Full Text: DOI
Durhuus, Bergfinnur; Jonsson, Thordur The structure of spatial slices of 3-dimensional causal triangulations. (English) Zbl 07290126 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 7, No. 3, 365-393 (2020). MSC: 05C10 60D05 PDF BibTeX XML Cite \textit{B. Durhuus} and \textit{T. Jonsson}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 7, No. 3, 365--393 (2020; Zbl 07290126) Full Text: DOI
Pereira, Antonio D. Quantum spacetime and the renormalization group: progress and visions. (English) Zbl 1445.83012 Finster, Felix (ed.) et al., Progress and visions in quantum theory in view of gravity: bridging foundations of physics and mathematics. Selected talks presented at the seventh international conference, Leipzig, Germany, October 1–5, 2018. Cham: Birkhäuser. 93-117 (2020). MSC: 83C45 81T17 PDF BibTeX XML Cite \textit{A. D. Pereira}, in: Progress and visions in quantum theory in view of gravity: bridging foundations of physics and mathematics. Selected talks presented at the seventh international conference, Leipzig, Germany, October 1--5, 2018. Cham: Birkhäuser. 93--117 (2020; Zbl 1445.83012) Full Text: DOI
Benedetti, Dario; Gurau, Razvan; Suzuki, Kenta Conformal symmetry and composite operators in the \(O(N )^3\) tensor field theory. (English) Zbl 1437.81069 J. High Energy Phys. 2020, No. 6, Paper No. 113, 50 p. (2020). MSC: 81T32 81T17 81T40 81Q10 81R15 PDF BibTeX XML Cite \textit{D. Benedetti} et al., J. High Energy Phys. 2020, No. 6, Paper No. 113, 50 p. (2020; Zbl 1437.81069) Full Text: DOI arXiv
Lee, Sung-Sik A model of quantum gravity with emergent spacetime. (English) Zbl 1437.83040 J. High Energy Phys. 2020, No. 6, Paper No. 70, 66 p. (2020). MSC: 83C45 83E05 PDF BibTeX XML Cite \textit{S.-S. Lee}, J. High Energy Phys. 2020, No. 6, Paper No. 70, 66 p. (2020; Zbl 1437.83040) Full Text: DOI arXiv
Benedetti, Dario; Delporte, Nicolas; Harribey, Sabine; Sinha, Ritam Sextic tensor field theories in rank 3 and 5. (English) Zbl 1437.81068 J. High Energy Phys. 2020, No. 6, Paper No. 65, 42 p. (2020). MSC: 81T32 81T17 PDF BibTeX XML Cite \textit{D. Benedetti} et al., J. High Energy Phys. 2020, No. 6, Paper No. 65, 42 p. (2020; Zbl 1437.81068) Full Text: DOI arXiv
Eichhorn, Astrid; Lumma, Johannes; Pereira, Antonio D.; Sikandar, Arslan Universal critical behavior in tensor models for four-dimensional quantum gravity. (English) Zbl 1435.83050 J. High Energy Phys. 2020, No. 2, Paper No. 110, 20 p. (2020). MSC: 83C45 83C27 81T17 81T32 PDF BibTeX XML Cite \textit{A. Eichhorn} et al., J. High Energy Phys. 2020, No. 2, Paper No. 110, 20 p. (2020; Zbl 1435.83050) Full Text: DOI arXiv
Benedetti, Dario; Gurau, Razvan; Harribey, Sabine; Suzuki, Kenta Hints of unitarity at large \(N\) in the \(O(N)^3\) tensor field theory. (English) Zbl 1435.81165 J. High Energy Phys. 2020, No. 2, Paper No. 72, 29 p. (2020). MSC: 81T32 81T40 81Q10 81V73 PDF BibTeX XML Cite \textit{D. Benedetti} et al., J. High Energy Phys. 2020, No. 2, Paper No. 72, 29 p. (2020; Zbl 1435.81165) Full Text: DOI arXiv
Dartois, Stéphane; Evnin, Oleg; Lionni, Luca; Rivasseau, Vincent; Valette, Guillaume Melonic turbulence. (English) Zbl 1436.81095 Commun. Math. Phys. 374, No. 2, 1179-1228 (2020). Reviewer: Akira Asada (Takarazuka) MSC: 81T15 81T18 81T20 35Q55 35B34 81T32 81V73 78A37 82B26 34L40 46E36 PDF BibTeX XML Cite \textit{S. Dartois} et al., Commun. Math. Phys. 374, No. 2, 1179--1228 (2020; Zbl 1436.81095) Full Text: DOI
Wulkenhaar, Raimar Quantum field theory on noncommutative spaces. (English) Zbl 07217281 Chamseddine, Ali (ed.) et al., Advances in noncommutative geometry. Based on the noncommutative geometry conference, Shanghai, China, March 23 – April 7, 2017. On the occasion of Alain Connes’ 70th Birthday. Cham: Springer (ISBN 978-3-030-29596-7/hbk; 978-3-030-29597-4/ebook). 607-690 (2019). MSC: 81T75 81T08 81T10 81T05 81R60 46A04 PDF BibTeX XML Cite \textit{R. Wulkenhaar}, in: Advances in noncommutative geometry. Based on the noncommutative geometry conference, Shanghai, China, March 23 -- April 7, 2017. On the occasion of Alain Connes' 70th Birthday. Cham: Springer. 607--690 (2019; Zbl 07217281) Full Text: DOI
Itoyama, H.; Yoshioka, R. Generalized cut operation associated with higher order variation in tensor models. (English) Zbl 1430.81064 Nucl. Phys., B 945, Article ID 114681, 13 p. (2019). MSC: 81T32 81T35 PDF BibTeX XML Cite \textit{H. Itoyama} and \textit{R. Yoshioka}, Nucl. Phys., B 945, Article ID 114681, 13 p. (2019; Zbl 1430.81064) Full Text: DOI
Benedetti, Dario; Carrozza, Sylvain; Gurau, Razvan; Kolanowski, Maciej The \(1 / N\) expansion of the symmetric traceless and the antisymmetric tensor models in rank three. (English) Zbl 1425.81071 Commun. Math. Phys. 371, No. 1, 55-97 (2019). MSC: 81T10 81T15 81T80 60B20 PDF BibTeX XML Cite \textit{D. Benedetti} et al., Commun. Math. Phys. 371, No. 1, 55--97 (2019; Zbl 1425.81071) Full Text: DOI
Lionni, Luca; Rivasseau, Vincent Intermediate field representation for positive matrix and tensor interactions. (English) Zbl 1425.81074 Ann. Henri Poincaré 20, No. 10, 3265-3311 (2019). MSC: 81T10 81P15 40D20 81T16 81T18 PDF BibTeX XML Cite \textit{L. Lionni} and \textit{V. Rivasseau}, Ann. Henri Poincaré 20, No. 10, 3265--3311 (2019; Zbl 1425.81074) Full Text: DOI arXiv
Ferrari, Frank; Rivasseau, Vincent; Valette, Guillaume A new large \(N\) expansion for general matrix-tensor models. (English) Zbl 07100582 Commun. Math. Phys. 370, No. 2, 403-448 (2019). MSC: 81Q30 81T27 81T18 60B20 PDF BibTeX XML Cite \textit{F. Ferrari} et al., Commun. Math. Phys. 370, No. 2, 403--448 (2019; Zbl 07100582) Full Text: DOI
Benedetti, Dario; Gurau, Razvan; Harribey, Sabine Line of fixed points in a bosonic tensor model. (English) Zbl 1416.81113 J. High Energy Phys. 2019, No. 6, Paper No. 53, 46 p. (2019). MSC: 81T17 81T40 PDF BibTeX XML Cite \textit{D. Benedetti} et al., J. High Energy Phys. 2019, No. 6, Paper No. 53, 46 p. (2019; Zbl 1416.81113) Full Text: DOI arXiv
Rivasseau, V.; Vignes-Tourneret, F. Constructive tensor field theory: the \(T_{4}^{4}\) model. (English) Zbl 1417.81148 Commun. Math. Phys. 366, No. 2, 567-646 (2019). Reviewer: T. C. Mohan (Chennai) MSC: 81T10 81T15 81T08 PDF BibTeX XML Cite \textit{V. Rivasseau} and \textit{F. Vignes-Tourneret}, Commun. Math. Phys. 366, No. 2, 567--646 (2019; Zbl 1417.81148) Full Text: DOI
Ben Geloun, Joseph; Toriumi, Reiko Renormalizable enhanced tensor field theory: the quartic melonic case. (English) Zbl 1408.83024 J. Math. Phys. 59, No. 11, 112303, 39 p. (2018). MSC: 83C45 83C05 81T10 81T15 PDF BibTeX XML Cite \textit{J. Ben Geloun} and \textit{R. Toriumi}, J. Math. Phys. 59, No. 11, 112303, 39 p. (2018; Zbl 1408.83024) Full Text: DOI
Ben Geloun, Joseph; Rivasseau, Vincent A renormalizable SYK-type tensor field theory. (English) Zbl 1402.81185 Ann. Henri Poincaré 19, No. 11, 3357-3395 (2018). MSC: 81T10 81T15 82D20 PDF BibTeX XML Cite \textit{J. Ben Geloun} and \textit{V. Rivasseau}, Ann. Henri Poincaré 19, No. 11, 3357--3395 (2018; Zbl 1402.81185) Full Text: DOI
Bonzom, Valentin; Dartois, Stéphane Blobbed topological recursion for the quartic melonic tensor model. (English) Zbl 1400.81159 J. Phys. A, Math. Theor. 51, No. 32, Article ID 325201, 51 p. (2018). MSC: 81T30 60B20 81T15 03D80 14N35 81T70 PDF BibTeX XML Cite \textit{V. Bonzom} and \textit{S. Dartois}, J. Phys. A, Math. Theor. 51, No. 32, Article ID 325201, 51 p. (2018; Zbl 1400.81159) Full Text: DOI
Diaz, Pablo Tensor and matrix models: a one-night stand or a lifetime romance? (English) Zbl 1395.81184 J. High Energy Phys. 2018, No. 6, Paper No. 140, 19 p. (2018). MSC: 81T30 80A10 83D05 81Q10 PDF BibTeX XML Cite \textit{P. Diaz}, J. High Energy Phys. 2018, No. 6, Paper No. 140, 19 p. (2018; Zbl 1395.81184) Full Text: DOI arXiv
Diaz, Pablo; Rey, Soo-Jong Invariant operators, orthogonal bases and correlators in general tensor models. (English) Zbl 1391.81118 Nucl. Phys., B 932, 254-277 (2018). MSC: 81T10 81T30 81V70 81R05 81P40 PDF BibTeX XML Cite \textit{P. Diaz} and \textit{S.-J. Rey}, Nucl. Phys., B 932, 254--277 (2018; Zbl 1391.81118) Full Text: DOI
Gurau, Razvan The \(1/N\) expansion of tensor models with two symmetric tensors. (English) Zbl 1393.81026 Commun. Math. Phys. 360, No. 3, 985-1007 (2018). MSC: 81T10 81T18 05B40 41A50 81T15 PDF BibTeX XML Cite \textit{R. Gurau}, Commun. Math. Phys. 360, No. 3, 985--1007 (2018; Zbl 1393.81026) Full Text: DOI
Lahoche, Vincent Constructive tensorial group field theory. I: The \(\mathrm{U}(1)-T^4_3\) model. (English) Zbl 1391.81112 J. Phys. A, Math. Theor. 51, No. 18, Article ID 185403, 21 p. (2018). Reviewer: Alex B. Gaina (Chisinau) MSC: 81T08 81V17 83C45 52A22 PDF BibTeX XML Cite \textit{V. Lahoche}, J. Phys. A, Math. Theor. 51, No. 18, Article ID 185403, 21 p. (2018; Zbl 1391.81112) Full Text: DOI
Lahoche, Vincent Constructive tensorial group field theory. II: The \(U(1)-T^4_4\) model. (English) Zbl 1391.81111 J. Phys. A, Math. Theor. 51, No. 18, Article ID 185402, 23 p. (2018). Reviewer: Alex B. Gaina (Chisinau) MSC: 81T08 81V17 83C45 52A22 PDF BibTeX XML Cite \textit{V. Lahoche}, J. Phys. A, Math. Theor. 51, No. 18, Article ID 185402, 23 p. (2018; Zbl 1391.81111) Full Text: DOI
Diaz, Pablo; Rey, Soo-Jong Orthogonal bases of invariants in tensor models. (English) Zbl 1387.83024 J. High Energy Phys. 2018, No. 2, Paper No. 89, 14 p. (2018). MSC: 83C45 81T30 PDF BibTeX XML Cite \textit{P. Diaz} and \textit{S.-J. Rey}, J. High Energy Phys. 2018, No. 2, Paper No. 89, 14 p. (2018; Zbl 1387.83024) Full Text: DOI arXiv
Benedetti, Dario; Carrozza, Sylvain; Gurau, Razvan; Sfondrini, Alessandro Tensorial Gross-Neveu models. (English) Zbl 1384.81077 J. High Energy Phys. 2018, No. 1, Paper No. 3, 47 p. (2018). MSC: 81T17 81T10 81T16 PDF BibTeX XML Cite \textit{D. Benedetti} et al., J. High Energy Phys. 2018, No. 1, Paper No. 3, 47 p. (2018; Zbl 1384.81077) Full Text: DOI
Pérez-Sánchez, Carlos I. The full Ward-Takahashi identity for colored tensor models. (English) Zbl 1387.83034 Commun. Math. Phys. 358, No. 2, 589-632 (2018); corrigendum ibid. 376, No. 1, 747-751 (2020). MSC: 83C47 81T40 62P35 81Q30 PDF BibTeX XML Cite \textit{C. I. Pérez-Sánchez}, Commun. Math. Phys. 358, No. 2, 589--632 (2018; Zbl 1387.83034) Full Text: DOI
Geloun, Joseph Ben; Ramgoolam, Sanjaye Tensor models, Kronecker coefficients and permutation centralizer algebras. (English) Zbl 1383.81213 J. High Energy Phys. 2017, No. 11, Paper No. 92, 75 p. (2017). MSC: 81T40 83C05 81R05 PDF BibTeX XML Cite \textit{J. B. Geloun} and \textit{S. Ramgoolam}, J. High Energy Phys. 2017, No. 11, Paper No. 92, 75 p. (2017; Zbl 1383.81213) Full Text: DOI arXiv
Klebanov, Igor R.; Tarnopolsky, Grigory On large \(N\) limit of symmetric traceless tensor models. (English) Zbl 1383.81239 J. High Energy Phys. 2017, No. 10, Paper No. 37, 16 p. (2017). MSC: 81T40 81T16 PDF BibTeX XML Cite \textit{I. R. Klebanov} and \textit{G. Tarnopolsky}, J. High Energy Phys. 2017, No. 10, Paper No. 37, 16 p. (2017; Zbl 1383.81239) Full Text: DOI arXiv
Itoyama, H.; Mironov, A.; Morozov, A. Ward identities and combinatorics of rainbow tensor models. (English) Zbl 1380.83067 J. High Energy Phys. 2017, No. 6, Paper No. 115, 68 p. (2017). MSC: 83C27 62P35 81T40 81T17 PDF BibTeX XML Cite \textit{H. Itoyama} et al., J. High Energy Phys. 2017, No. 6, Paper No. 115, 68 p. (2017; Zbl 1380.83067) Full Text: DOI
Gross, David J.; Rosenhaus, Vladimir The bulk dual of SYK: cubic couplings. (English) Zbl 1380.81322 J. High Energy Phys. 2017, No. 5, Paper No. 92, 33 p. (2017). MSC: 81T40 81R12 PDF BibTeX XML Cite \textit{D. J. Gross} and \textit{V. Rosenhaus}, J. High Energy Phys. 2017, No. 5, Paper No. 92, 33 p. (2017; Zbl 1380.81322) Full Text: DOI
Pérez-Sánchez, Carlos I. Surgery in colored tensor models. (English) Zbl 1376.83021 J. Geom. Phys. 120, 262-289 (2017). MSC: 83C47 81T40 81T18 53Z05 62P35 83C27 83E15 83C45 PDF BibTeX XML Cite \textit{C. I. Pérez-Sánchez}, J. Geom. Phys. 120, 262--289 (2017; Zbl 1376.83021) Full Text: DOI
Carrozza, Sylvain; Lahoche, Vincent Asymptotic safety in three-dimensional \({\mathrm SU}(2)\)SU(2) group field theory: evidence in the local potential approximation. (English) Zbl 1370.83024 Classical Quantum Gravity 34, No. 11, Article ID 115004, 44 p. (2017). MSC: 83C45 81T17 81T20 83C27 PDF BibTeX XML Cite \textit{S. Carrozza} and \textit{V. Lahoche}, Classical Quantum Gravity 34, No. 11, Article ID 115004, 44 p. (2017; Zbl 1370.83024) Full Text: DOI
Gurau, Razvan Invitation to random tensors. (English) Zbl 1346.83030 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 094, 12 p. (2016). MSC: 83C45 PDF BibTeX XML Cite \textit{R. Gurau}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 094, 12 p. (2016; Zbl 1346.83030) Full Text: DOI arXiv
Rivasseau, Vincent Constructive tensor field theory. (English) Zbl 1346.81060 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 085, 31 p. (2016). MSC: 81T08 81T15 81T18 81-02 PDF BibTeX XML Cite \textit{V. Rivasseau}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 085, 31 p. (2016; Zbl 1346.81060) Full Text: DOI arXiv
Bonzom, Valentin Large \(N\) limits in tensor models: towards more universality classes of colored triangulations in dimension \(d\geq 2\). (English) Zbl 1343.05059 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 073, 39 p. (2016). MSC: 05C15 05C10 83C45 81T18 83C27 PDF BibTeX XML Cite \textit{V. Bonzom}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 073, 39 p. (2016; Zbl 1343.05059) Full Text: DOI arXiv
Krajewski, Thomas; Toriumi, Reiko Exact renormalisation group equations and loop equations for tensor models. (English) Zbl 1343.81179 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 068, 36 p. (2016). MSC: 81T17 81T18 PDF BibTeX XML Cite \textit{T. Krajewski} and \textit{R. Toriumi}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 068, 36 p. (2016; Zbl 1343.81179) Full Text: DOI arXiv
Delepouve, Thibault; Rivasseau, Vincent Constructive tensor field theory: the \({T^4_3}\) model. (English) Zbl 1345.81073 Commun. Math. Phys. 345, No. 2, 477-506 (2016). Reviewer: Gabor Etesi (Budapest) MSC: 81T08 81T15 81U20 55R10 PDF BibTeX XML Cite \textit{T. Delepouve} and \textit{V. Rivasseau}, Commun. Math. Phys. 345, No. 2, 477--506 (2016; Zbl 1345.81073) Full Text: DOI arXiv
Tanasa, Adrian The multi-orientable random tensor model, a review. (English) Zbl 1385.60011 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 056, 23 p. (2016). MSC: 60B20 05C90 81Q30 81T99 PDF BibTeX XML Cite \textit{A. Tanasa}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 056, 23 p. (2016; Zbl 1385.60011) Full Text: DOI arXiv
Sasakura, Naoki; Sato, Yuki Constraint algebra of general relativity from a formal continuum limit of canonical tensor model. (English) Zbl 1388.83143 J. High Energy Phys. 2015, No. 10, Paper No. 109, 19 p. (2015). MSC: 83C45 83C65 PDF BibTeX XML Cite \textit{N. Sasakura} and \textit{Y. Sato}, J. High Energy Phys. 2015, No. 10, Paper No. 109, 19 p. (2015; Zbl 1388.83143) Full Text: DOI
Dartois, Stéphane A Givental-like formula and bilinear identities for tensor models. (English) Zbl 1388.81207 J. High Energy Phys. 2015, No. 8, Paper No. 129, 19 p. (2015). MSC: 81R12 83C45 PDF BibTeX XML Cite \textit{S. Dartois}, J. High Energy Phys. 2015, No. 8, Paper No. 129, 19 p. (2015; Zbl 1388.81207) Full Text: DOI
Fukuma, Masafumi; Sugishita, Sotaro; Umeda, Naoya Random volumes from matrices. (English) Zbl 1388.81529 J. High Energy Phys. 2015, No. 7, Paper No. 88, 31 p. (2015). MSC: 81T30 83C45 83C27 PDF BibTeX XML Cite \textit{M. Fukuma} et al., J. High Energy Phys. 2015, No. 7, Paper No. 88, 31 p. (2015; Zbl 1388.81529) Full Text: DOI arXiv
Delepouve, Thibault; Gurau, Razvan Phase transition in tensor models. (English) Zbl 1388.83066 J. High Energy Phys. 2015, No. 6, Paper No. 178, 34 p. (2015). MSC: 83C27 81T16 81T20 81T27 PDF BibTeX XML Cite \textit{T. Delepouve} and \textit{R. Gurau}, J. High Energy Phys. 2015, No. 6, Paper No. 178, 34 p. (2015; Zbl 1388.83066) Full Text: DOI arXiv
Lahoche, Vincent; Oriti, Daniele; Rivasseau, Vincent Renormalization of an abelian tensor group field theory: solution at leading order. (English) Zbl 1388.83127 J. High Energy Phys. 2015, No. 4, Paper No. 95, 41 p. (2015). MSC: 83C45 PDF BibTeX XML Cite \textit{V. Lahoche} et al., J. High Energy Phys. 2015, No. 4, Paper No. 95, 41 p. (2015; Zbl 1388.83127) Full Text: DOI
Benedetti, Dario; Geloun, Joseph Ben; Oriti, Daniele Functional renormalisation group approach for tensorial group field theory: a rank-3 model. (English) Zbl 1388.83088 J. High Energy Phys. 2015, No. 3, Paper No. 84, 40 p. (2015). MSC: 83C45 81T08 81T17 81T10 PDF BibTeX XML Cite \textit{D. Benedetti} et al., J. High Energy Phys. 2015, No. 3, Paper No. 84, 40 p. (2015; Zbl 1388.83088) Full Text: DOI arXiv
Bonzom, Valentin; Delepouve, Thibault; Rivasseau, Vincent Enhancing non-melonic triangulations: a tensor model mixing melonic and planar maps. (English) Zbl 1329.81258 Nucl. Phys., B 895, 161-191 (2015). MSC: 81T10 81T16 82B30 82D60 83C45 05C05 05C80 PDF BibTeX XML Cite \textit{V. Bonzom} et al., Nucl. Phys., B 895, 161--191 (2015; Zbl 1329.81258) Full Text: DOI arXiv
Avohou, Remi C.; Rivasseau, Vincent; Tanasa, Adrian Renormalization and Hopf algebraic structure of the five-dimensional quartic tensor field theory. (English) Zbl 1331.83021 J. Phys. A, Math. Theor. 48, No. 48, Article ID 485204, 20 p. (2015). MSC: 83C45 81T15 16T05 PDF BibTeX XML Cite \textit{R. C. Avohou} et al., J. Phys. A, Math. Theor. 48, No. 48, Article ID 485204, 20 p. (2015; Zbl 1331.83021) Full Text: DOI arXiv
Ben Geloun, Joseph; Toriumi, Reiko Parametric representation of rank \(d\) tensorial group field theory: abelian models with kinetic term \(\sum_s \left|p_s\right| + \mu\). (English) Zbl 1322.83011 J. Math. Phys. 56, No. 9, 093503, 53 p. (2015). MSC: 83C45 81T20 81T15 PDF BibTeX XML Cite \textit{J. Ben Geloun} and \textit{R. Toriumi}, J. Math. Phys. 56, No. 9, 093503, 53 p. (2015; Zbl 1322.83011) Full Text: DOI arXiv
Durhuus, Bergfinnur; Jonsson, Thordur Exponential bounds on the number of causal triangulations. (English) Zbl 1326.83032 Commun. Math. Phys. 340, No. 1, 105-124 (2015). MSC: 83C27 83C05 57Q15 52C07 83C45 PDF BibTeX XML Cite \textit{B. Durhuus} and \textit{T. Jonsson}, Commun. Math. Phys. 340, No. 1, 105--124 (2015; Zbl 1326.83032) Full Text: DOI arXiv
Carrozza, Sylvain Discrete renormalization group for \(\mathrm{SU}(2)\) tensorial group field theory. (English) Zbl 1319.81068 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 2, No. 1, 49-112 (2015). Reviewer: Jorge Pullin (Baton Rouge) MSC: 81T20 81T17 83C45 PDF BibTeX XML Cite \textit{S. Carrozza}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 2, No. 1, 49--112 (2015; Zbl 1319.81068) Full Text: DOI arXiv
Bonzom, Valentin; Combes, Frédéric Tensor models from the viewpoint of matrix models: the cases of loop models on random surfaces and of the Gaussian distribution. (English) Zbl 1310.05084 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 2, No. 1, 1-47 (2015). MSC: 05C15 05C30 60B20 15B52 PDF BibTeX XML Cite \textit{V. Bonzom} and \textit{F. Combes}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 2, No. 1, 1--47 (2015; Zbl 1310.05084) Full Text: DOI
Raasakka, Matti; Tanasa, Adrian Next-to-leading order in the large \(N\) expansion of the multi-orientable random tensor model. (English) Zbl 1314.83022 Ann. Henri Poincaré 16, No. 5, 1267-1281 (2015). MSC: 83C45 81S40 62P35 PDF BibTeX XML Cite \textit{M. Raasakka} and \textit{A. Tanasa}, Ann. Henri Poincaré 16, No. 5, 1267--1281 (2015; Zbl 1314.83022) Full Text: DOI arXiv
Kamiński, Wojciech; Oriti, Daniele; Ryan, James P. Towards a double scaling limit for tensor models: probing sub-dominant orders. (English) Zbl 1451.81276 New J. Phys. 16, No. 6, Article ID 063048, 36 p. (2014). MSC: 81R50 81R20 PDF BibTeX XML Cite \textit{W. Kamiński} et al., New J. Phys. 16, No. 6, Article ID 063048, 36 p. (2014; Zbl 1451.81276) Full Text: DOI
Sasakura, Naoki; Sato, Yuki Interpreting canonical tensor model in minisuperspace. (English) Zbl 1360.81314 Phys. Lett., B 732, 32-35 (2014). MSC: 81V17 PDF BibTeX XML Cite \textit{N. Sasakura} and \textit{Y. Sato}, Phys. Lett., B 732, 32--35 (2014; Zbl 1360.81314) Full Text: DOI arXiv
Rivasseau, V. The tensor track, III. (English) Zbl 1338.83085 Fortschr. Phys. 62, No. 2, 81-107 (2014). MSC: 83C45 83-02 83-01 PDF BibTeX XML Cite \textit{V. Rivasseau}, Fortschr. Phys. 62, No. 2, 81--107 (2014; Zbl 1338.83085) Full Text: DOI arXiv
Bonzom, Valentin; Combes, Frédéric The calculation of expectation values in Gaussian random tensor theory via meanders. (English) Zbl 1309.05099 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 1, No. 4, 443-485 (2014). MSC: 05C30 05A05 05C15 15B52 PDF BibTeX XML Cite \textit{V. Bonzom} and \textit{F. Combes}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 1, No. 4, 443--485 (2014; Zbl 1309.05099) Full Text: DOI arXiv
Gurau, Razvan Universality for random tensors. (English. French summary) Zbl 1318.60010 Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 4, 1474-1525 (2014). Reviewer: Hiroaki Shimomura (Tokyo) MSC: 60B99 60F99 PDF BibTeX XML Cite \textit{R. Gurau}, Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 4, 1474--1525 (2014; Zbl 1318.60010) Full Text: DOI Euclid arXiv
Gurau, Razvan; Ryan, James P. Melons are branched polymers. (English) Zbl 1303.83012 Ann. Henri Poincaré 15, No. 11, 2085-2131 (2014). MSC: 83C45 54F65 83D05 83E15 81V22 62P35 PDF BibTeX XML Cite \textit{R. Gurau} and \textit{J. P. Ryan}, Ann. Henri Poincaré 15, No. 11, 2085--2131 (2014; Zbl 1303.83012) Full Text: DOI arXiv
Ben Geloun, Joseph Renormalizable models in rank \({d \geq 2}\) tensorial group field theory. (English) Zbl 1300.83043 Commun. Math. Phys. 332, No. 1, 117-188 (2014). MSC: 83E05 81T75 82B20 83C45 81T15 54F65 81T20 PDF BibTeX XML Cite \textit{J. Ben Geloun}, Commun. Math. Phys. 332, No. 1, 117--188 (2014; Zbl 1300.83043) Full Text: DOI arXiv
Gurau, Razvan The \(1/N\) expansion of tensor models beyond perturbation theory. (English) Zbl 1297.81126 Commun. Math. Phys. 330, No. 3, 973-1019 (2014). Reviewer: Yang-Hui He (London) MSC: 81T05 81T08 PDF BibTeX XML Cite \textit{R. Gurau}, Commun. Math. Phys. 330, No. 3, 973--1019 (2014; Zbl 1297.81126) Full Text: DOI arXiv
Carrozza, Sylvain; Oriti, Daniele; Rivasseau, Vincent Renormalization of tensorial group field theories: abelian \(\mathrm U(1)\) models in four dimensions. (English) Zbl 1291.83102 Commun. Math. Phys. 327, No. 2, 603-641 (2014). MSC: 83C45 83C47 81T15 81T20 53C80 53Z05 PDF BibTeX XML Cite \textit{S. Carrozza} et al., Commun. Math. Phys. 327, No. 2, 603--641 (2014; Zbl 1291.83102) Full Text: DOI arXiv
Collet, P.; Eckmann, J.-P.; Younan, M. Trees of nuclei and bounds on the number of triangulations of the 3-ball. (English) Zbl 1317.57013 Commun. Math. Phys. 325, No. 1, 259-289 (2014). Reviewer: Michael Joswig (Berlin) MSC: 57Q15 52B05 52B70 PDF BibTeX XML Cite \textit{P. Collet} et al., Commun. Math. Phys. 325, No. 1, 259--289 (2014; Zbl 1317.57013) Full Text: DOI
Dartois, Stéphane; Gurau, Razvan; Rivasseau, Vincent Double scaling in tensor models with a quartic interaction. (English) Zbl 1342.83079 J. High Energy Phys. 2013, No. 9, Paper No. 088, 32 p. (2013). MSC: 83C45 81V05 PDF BibTeX XML Cite \textit{S. Dartois} et al., J. High Energy Phys. 2013, No. 9, Paper No. 088, 32 p. (2013; Zbl 1342.83079) Full Text: DOI arXiv
Bonzom, Valentin New \(1/N\) expansions in random tensor models. (English) Zbl 1342.83053 J. High Energy Phys. 2013, No. 6, Paper No. 062, 24 p. (2013). MSC: 83C27 PDF BibTeX XML Cite \textit{V. Bonzom}, J. High Energy Phys. 2013, No. 6, Paper No. 062, 24 p. (2013; Zbl 1342.83053) Full Text: DOI arXiv
Bonzom, Valentin Revisiting random tensor models at large \(N\) via the Schwinger-Dyson equations. (English) Zbl 1342.81174 J. High Energy Phys. 2013, No. 3, Paper No. 160, 24 p. (2013). MSC: 81R10 15B52 PDF BibTeX XML Cite \textit{V. Bonzom}, J. High Energy Phys. 2013, No. 3, Paper No. 160, 24 p. (2013; Zbl 1342.81174) Full Text: DOI arXiv
Geloun, Joseph Ben; Livine, Etera R. Some classes of renormalizable tensor models. (English) Zbl 1287.83021 J. Math. Phys. 54, No. 8, 082303, 25 p. (2013). MSC: 83C45 81T15 PDF BibTeX XML Cite \textit{J. B. Geloun} and \textit{E. R. Livine}, J. Math. Phys. 54, No. 8, 082303, 25 p. (2013; Zbl 1287.83021) Full Text: DOI arXiv
Sasakura, Naoki Quantum canonical tensor model and an exact wave function. (English) Zbl 1277.83042 Int. J. Mod. Phys. A 28, No. 21, Article ID 1350111, 17 p. (2013). MSC: 83C45 17B81 70G45 PDF BibTeX XML Cite \textit{N. Sasakura}, Int. J. Mod. Phys. A 28, No. 21, Article ID 1350111, 17 p. (2013; Zbl 1277.83042) Full Text: DOI arXiv
Ben Geloun, Joseph; Samary, Dine Ousmane 3D tensor field theory: renormalization and one-loop \(\beta \)-functions. (English) Zbl 1272.83028 Ann. Henri Poincaré 14, No. 6, 1599-1642 (2013). MSC: 83C45 81T20 81T15 81S40 PDF BibTeX XML Cite \textit{J. Ben Geloun} and \textit{D. O. Samary}, Ann. Henri Poincaré 14, No. 6, 1599--1642 (2013; Zbl 1272.83028) Full Text: DOI arXiv
Geloun, Joseph Ben; Rivasseau, Vincent A renormalizable 4-dimensional tensor field theory. (English) Zbl 1261.83016 Commun. Math. Phys. 318, No. 1, 69-109 (2013); addendum ibid. 322, No. 3, 957-965 (2013). MSC: 83C45 81T15 81T20 83C05 81S40 PDF BibTeX XML Cite \textit{J. B. Geloun} and \textit{V. Rivasseau}, Commun. Math. Phys. 318, No. 1, 69--109 (2013; Zbl 1261.83016) Full Text: DOI
Carrozza, Sylvain; Oriti, Daniele Bubbles and jackets: new scaling bounds in topological group field theories. (English) Zbl 1397.81324 J. High Energy Phys. 2012, No. 6, Paper No. 92, 42 p. (2012). MSC: 81T45 81T75 PDF BibTeX XML Cite \textit{S. Carrozza} and \textit{D. Oriti}, J. High Energy Phys. 2012, No. 6, Paper No. 92, 42 p. (2012; Zbl 1397.81324) Full Text: DOI
Gurau, Razvan The Schwinger Dyson equations and the algebra of constraints of random tensor models at all orders. (English) Zbl 1262.81138 Nucl. Phys., B 865, No. 1, 133-147 (2012). MSC: 81T30 81R10 05C05 05C10 05C90 22E70 PDF BibTeX XML Cite \textit{R. Gurau}, Nucl. Phys., B 865, No. 1, 133--147 (2012; Zbl 1262.81138) Full Text: DOI arXiv
Sasakura, Naoki Uniqueness of canonical tensor model with local time. (English) Zbl 1260.83044 Int. J. Mod. Phys. A 27, No. 18, Paper No. 1250096, 17 p. (2012). MSC: 83C45 70S05 70H15 70H45 PDF BibTeX XML Cite \textit{N. Sasakura}, Int. J. Mod. Phys. A 27, No. 18, Paper No. 1250096, 17 p. (2012; Zbl 1260.83044) Full Text: DOI arXiv
Sasakura, Naoki Canonical tensor models with local time. (English) Zbl 1247.83059 Int. J. Mod. Phys. A 27, No. 5, 1250020, 21 p. (2012). MSC: 83C45 70S05 70H45 70H33 PDF BibTeX XML Cite \textit{N. Sasakura}, Int. J. Mod. Phys. A 27, No. 5, 1250020, 21 p. (2012; Zbl 1247.83059) Full Text: DOI arXiv
Gurau, Razvan The complete \(1/N\) expansion of colored tensor models in arbitrary dimension. (English) Zbl 1245.81118 Ann. Henri Poincaré 13, No. 3, 399-423 (2012). MSC: 81T18 81V17 83C45 PDF BibTeX XML Cite \textit{R. Gurau}, Ann. Henri Poincaré 13, No. 3, 399--423 (2012; Zbl 1245.81118) Full Text: DOI arXiv
Benedetti, Dario; Gurau, Razvan Phase transition in dually weighted colored tensor models. (English) Zbl 1229.81208 Nucl. Phys., B 855, No. 2, 420-437 (2012). MSC: 81T27 82C27 PDF BibTeX XML Cite \textit{D. Benedetti} and \textit{R. Gurau}, Nucl. Phys., B 855, No. 2, 420--437 (2012; Zbl 1229.81208) Full Text: DOI arXiv
Baratin, Aristide; Oriti, Daniele Quantum simplicial geometry in the group field theory formalism: reconsidering the barrett–crane model. (English) Zbl 1448.83034 New J. Phys. 13, No. 12, Article ID 125011, 28 p. (2011). MSC: 83D05 81T45 PDF BibTeX XML Cite \textit{A. Baratin} and \textit{D. Oriti}, New J. Phys. 13, No. 12, Article ID 125011, 28 p. (2011; Zbl 1448.83034) Full Text: DOI
Sasakura, Naoki Tensor models and 3-ary algebras. (English) Zbl 1272.83033 J. Math. Phys. 52, No. 10, 103510, 11 p. (2011). MSC: 83C45 54A40 83C65 22E35 22E70 PDF BibTeX XML Cite \textit{N. Sasakura}, J. Math. Phys. 52, No. 10, 103510, 11 p. (2011; Zbl 1272.83033) Full Text: DOI arXiv
Sasakura, Naoki Super tensor models, super fuzzy spaces and super \(n\)-ary transformations. (English) Zbl 1247.83058 Int. J. Mod. Phys. A 26, No. 24, 4203-4216 (2011). MSC: 83C45 81T60 83E50 46S40 PDF BibTeX XML Cite \textit{N. Sasakura}, Int. J. Mod. Phys. A 26, No. 24, 4203--4216 (2011; Zbl 1247.83058) Full Text: DOI arXiv
Sasakura, Naoki Tensor models and hierarchy of \(n\)-ary algebras. (English) Zbl 1247.83057 Int. J. Mod. Phys. A 26, No. 19, 3249-3258 (2011). MSC: 83C45 PDF BibTeX XML Cite \textit{N. Sasakura}, Int. J. Mod. Phys. A 26, No. 19, 3249--3258 (2011; Zbl 1247.83057) Full Text: DOI arXiv
Gurau, Razvan A generalization of the Virasoro algebra to arbitrary dimensions. (English) Zbl 1229.81129 Nucl. Phys., B 852, No. 3, 592-614 (2011). MSC: 81R10 81T30 81T10 82B27 PDF BibTeX XML Cite \textit{R. Gurau}, Nucl. Phys., B 852, No. 3, 592--614 (2011; Zbl 1229.81129) Full Text: DOI arXiv
Gurau, Razvan The \(1/N\) expansion of colored tensor models. (English) Zbl 1218.81088 Ann. Henri Poincaré 12, No. 5, 829-847 (2011). MSC: 81T30 81V05 83C45 15B52 PDF BibTeX XML Cite \textit{R. Gurau}, Ann. Henri Poincaré 12, No. 5, 829--847 (2011; Zbl 1218.81088) Full Text: DOI arXiv
Gurau, Razvan Colored group field theory. (English) Zbl 1214.81170 Commun. Math. Phys. 304, No. 1, 69-93 (2011). MSC: 81T18 22A26 81T15 PDF BibTeX XML Cite \textit{R. Gurau}, Commun. Math. Phys. 304, No. 1, 69--93 (2011; Zbl 1214.81170) Full Text: DOI arXiv
Sasakura, Naoki A renormalization procedure for tensor models and scalar-tensor theories of gravity. (English) Zbl 1202.83050 Int. J. Mod. Phys. A 25, No. 23, 4475-4492 (2010). MSC: 83C45 81T15 PDF BibTeX XML Cite \textit{N. Sasakura}, Int. J. Mod. Phys. A 25, No. 23, 4475--4492 (2010; Zbl 1202.83050) Full Text: DOI arXiv
Sasakura, Naoki The lowest modes around Gaussian solutions of tensor models and the general relativity. (English) Zbl 1159.83310 Int. J. Mod. Phys. A 23, No. 24, 3863 - 3890 (2008). MSC: 83C05 83E30 83C47 83C99 28E10 PDF BibTeX XML Cite \textit{N. Sasakura}, Int. J. Mod. Phys. A 23, No. 24, 3863 - 3890 (2008; Zbl 1159.83310) Full Text: DOI arXiv
Sasakura, Naoki The fluctuation spectra around a Gaussian classical solution of a tensor model and the general relativity. (English) Zbl 1151.83348 Int. J. Mod. Phys. A 23, No. 5, 693-718 (2008). MSC: 83C65 54A40 PDF BibTeX XML Cite \textit{N. Sasakura}, Int. J. Mod. Phys. A 23, No. 5, 693--718 (2008; Zbl 1151.83348) Full Text: DOI arXiv
Chassaing, Philippe; Durhuus, Bergfinnur Local limit of labeled trees and expected volume growth in a random quadrangulation. (English) Zbl 1102.60007 Ann. Probab. 34, No. 3, 879-917 (2006). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 60C05 05C30 05C05 82B41 PDF BibTeX XML Cite \textit{P. Chassaing} and \textit{B. Durhuus}, Ann. Probab. 34, No. 3, 879--917 (2006; Zbl 1102.60007) Full Text: DOI arXiv
Freidel, L. Group field theory: an overview. (English) Zbl 1100.83010 Int. J. Theor. Phys. 44, No. 10, 1769-1783 (2005). MSC: 83C45 83-02 83E15 PDF BibTeX XML Cite \textit{L. Freidel}, Int. J. Theor. Phys. 44, No. 10, 1769--1783 (2005; Zbl 1100.83010) Full Text: DOI arXiv
Gibbs, Philip E. Principle of event symmetry. (English) Zbl 0857.53057 Int. J. Theor. Phys. 35, No. 6, 1037-1062 (1996). MSC: 53Z05 83C27 81T25 PDF BibTeX XML Cite \textit{P. E. Gibbs}, Int. J. Theor. Phys. 35, No. 6, 1037--1062 (1996; Zbl 0857.53057) Full Text: DOI
Ambjørn, J.; Jurkiewicz, J.; Watabiki, Y. Dynamical triangulations, a gateway to quantum gravity? (English) Zbl 0848.57019 J. Math. Phys. 36, No. 11, 6299-6339 (1995). MSC: 57Q99 83E99 PDF BibTeX XML Cite \textit{J. Ambjørn} et al., J. Math. Phys. 36, No. 11, 6299--6339 (1995; Zbl 0848.57019) Full Text: DOI arXiv
Ambjørn, J. Remarks about \(c>1\) and \(D>2\). (English) Zbl 0831.53055 Theor. Math. Phys. 98, No. 3, 219-226 (1994) and Teor. Mat. Fiz. 98, No. 3, 326-336 (1994). MSC: 53Z05 83C27 81T40 PDF BibTeX XML Cite \textit{J. Ambjørn}, Theor. Math. Phys. 98, No. 3, 1 (1994; Zbl 0831.53055) Full Text: DOI
Antonsen, Frank Random graphs as a model for pregeometry. (English) Zbl 0798.05051 Int. J. Theor. Phys. 33, No. 6, 1189-1205 (1994). MSC: 05C90 05C80 81P99 11B68 PDF BibTeX XML Cite \textit{F. Antonsen}, Int. J. Theor. Phys. 33, No. 6, 1189--1205 (1994; Zbl 0798.05051) Full Text: DOI
Ambjørn, Jan; Varsted, Steen A new approach to three-dimensional quantum gravity. (English) Zbl 0957.83516 Nucl. Phys., B, Proc. Suppl. 25A, 25-30 (1992). MSC: 83C45 PDF BibTeX XML Cite \textit{J. Ambjørn} and \textit{S. Varsted}, Nucl. Phys., B, Proc. Suppl. 25A, 25--30 (1992; Zbl 0957.83516) Full Text: DOI