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We provide an informal up-to-date review of the tensor track approach to quantum gravity.
1915
Earlier work this paper cites.
1931
Earlier work this paper cites.
R. Gurau, “Topological Graph Polynomials in Colored Group Field Theory,” Annales Henri Poincaré 11
1945
Earlier work this paper cites.
J. B. Kruskal, “On the Shortest Spanning Subtree of a Graph and the Traveling Salesman ProblemÓ, Proceedings of the American Mathematical Society, 7, 4850, (1956)
1956
Earlier work this paper cites.
W. T. Tutte, “A census of planar triangulations”, Canad. J. Math. 14 (1962), 21-38
1962
Earlier work this paper cites.
G. ’t Hooft, “A PLANAR DIAGRAM THEORY FOR STRONG INTERACTIONS,” Nucl. Phys. B 72
1974
Earlier work this paper cites.
K. Osterwalder and R. Schrader, “Axioms for Euclidean GreenÕs functions”, Comm. Math. Phys. 31 (1973), 83Ð112 and 42 (1975) 281Ð305
1975
Earlier work this paper cites.
F. Guerra, L. Rosen and B. Simon, “The P ( ϕ ) 2 P(\phi)_{2} Euclidean quantum field theory as classical statistical mechanics”, Ann. Math. 101, 111 (1975)
1975
Earlier work this paper cites.
J. F. Plebanski, “On the separation of Einsteinian substructures”, Journal of Mathematical Physics, 18:2511- 2520, (1977)
1977
Earlier work this paper cites.
E. Brezin, C. Itzykson, G. Parisi and J. B. Zuber, “Planar Diagrams,” Commun. Math. Phys. 59
1978
Earlier work this paper cites.
A. Polyakov, “Quantum geometry of bosonic strings”, Physics Letters B, 103(3): 207-210 (1981)
1981
Earlier work this paper cites.
M. Ferri and C. Gagliardi, “Crystallization moves”, Pacific J. Math. 100 (1982) 85-103
1982
Earlier work this paper cites.
D. Friedan, “Introduction to Polyakov’s String Theory”, in J. Zuber and R. Stora editors, Recent advances in field theory and statistical mechanics, volume 39 of Les Houches summer school of theoretical physics, Amsterdam. North-Holland (1984)
1984
Earlier work this paper cites.
D. Gross and M. Mézard, “The simplest spin glass,Ó Nucl. Phys. B 240 no. 4, (1984) 431-452
1984
Earlier work this paper cites.
F. David, “A Model of Random Surfaces with Nontrivial Critical Behavior,” Nucl. Phys. B 257
1985
Earlier work this paper cites.
V. A. Kazakov, “Bilocal Regularization of Models of Random Surfaces,” Phys. Lett. B 150
1985
Earlier work this paper cites.
V. A. Kazakov, “Ising model on a dynamical planar random lattice: Exact solution,Ó Phys. Lett. A 119, 140 (1986)
1986
Earlier work this paper cites.
M. Mézard, G. Parisi, and M. Virasoro, “Spin Glass Theory and Beyond,” World Scientific, 1986
1986
Earlier work this paper cites.
1987
Earlier work this paper cites.
J. Glimm and A. M. Jaffe, “Quantum Physics. A Functional Integral Point Of View,Ó New York, Springer (1987)
1987
Earlier work this paper cites.
D. Brydges and T. Kennedy, “Mayer expansions and the Hamilton-Jacobi equation”, Journal of Statistical Physics, 48, 19 (1987)
1987
Earlier work this paper cites.
V. Knizhnik, A. Polyakov and A. Zamolodchikov, “Fractal structure of 2d-gravity”, Mod. Phys. Lett. A, 03:819, (1988)
1988
Earlier work this paper cites.
J. Distler and H. Kawai, “Conformal field theory and 2-d quantum gravity”, Nucl. Phys. B 1989, 321:509
1989
Earlier work this paper cites.
J. Ambjorn, B. Durhuus and T. Jonsson, “Summing over all genera for d > 1 d>1 : a toy model”, Phys. Lett. B 244 (1990), 403, 412
1990
Earlier work this paper cites.
E. Brézin and V. A. Kazakov, “Exactly solvable field theories of closed strings,” Phys. Lett. B 236
1990
Earlier work this paper cites.
M. R. Douglas and S. H. Shenker, “Strings in less than one dimension,” Nucl. Phys. B 335
1990
Earlier work this paper cites.
D. J. Gross and A. A. Migdal, “Nonperturbative two-dimensional quantum gravity,” Phys. Rev. Lett. 64
1990
Earlier work this paper cites.
E. Witten, “On the structure of the topological phase of two dimensional gravity”, Nucl. Phys. B 1990, 340:281
1990
Earlier work this paper cites.
J. Ambjorn, B. Durhuus and T. Jonsson, “Three-Dimensional Simplicial Quantum Gravity And Generalized Matrix Models,Ó Mod. Phys. Lett. A 6, 1133 (1991)
1991
Earlier work this paper cites.
N. Sasakura, “Tensor model for gravity and orientability of manifold,Ó Mod. Phys. Lett. A 6, 2613 (1991)
1991
Earlier work this paper cites.
V. Rivasseau, “From perturbative to constructive renormalization,Ó Princeton University Press (1991)
1991
Earlier work this paper cites.
D. V. Boulatov, “A Model of three-dimensional lattice gravity,” Mod. Phys. Lett. A 7
1992
Earlier work this paper cites.
M. Gross, “Tensor models and simplicial quantum gravity in > > 2-D,Ó Nucl. Phys. Proc. Suppl. 25A, 144 (1992)
1992
Earlier work this paper cites.
M. Kontsevich, “Intersection theory on the moduli space of curves and the matrix Airy function”, Commun. Math. Phys., 1992, 147:1-23
1992
Earlier work this paper cites.
D. Aldous, “The Continuum Random Tree I, II and III”, The Annals of Probability, 1991, Vol 19, 1-28; in Stochastic Analysis, London Math Society Lecture Notes, Cambridge University Press 1991n eds Barlow and Bingham; The Annals of Probability, 1993, Vol 21, 248-289
1993
Earlier work this paper cites.
P. Di Francesco, P. H. Ginsparg and J. Zinn-Justin, “2-D Gravity and random matrices,” Phys. Rept. 254
1995
Earlier work this paper cites.
B. Durhuus and T. Jónsson, “Remarks on the entropy of 3-manifolds,” Nuclear Phys. B 445 (1995), 182-192
1995
Earlier work this paper cites.
S. Lins, “Gems, computers and attractors for 3-manifolds”, Series on Knots and Everything, Vol. 5, World Scientific Publishing Co. Inc., River Edge, NJ, 1995
1995
Earlier work this paper cites.
A. Abdesselam and V. Rivasseau, “Trees, forests and jungles: A botanical garden for cluster expansionsÓ, in Lecture Notes in Phys., 446, Springer, Berlin, 1995; arXiv:hep-th/9409094
1995
Earlier work this paper cites.
S. Holst, “BarberoÕs Hamiltonian derived from a generalized Hilbert-Palatini action”, Physical Review D, 53, 5966-5969 (1996), arXiv:gr-qc/9511026
1996
Earlier work this paper cites.
J. Ambjorn, B. Durhuus and T. Jonsson, “Quantum geometry. A statistical field theory approach,” Cambridge University Press, (1997)
1997
Earlier work this paper cites.
J. W. Barrett and L. Crane. “Relativistic spin networks and quantum gravity,” Journal of Mathematical Physics, 39:3296-3302, (1998), arXiv:gr-qc/9709028
1998
Earlier work this paper cites.
G. Schaeffer, “Conjugaison d’arbres et cartes combinatoires aléatoires”, PhD thesis 1998
1998
Cited alongside, same era.
M. Gromov, “Metric structures for Riemannian and non-Riemannian spaces”, Birkhäuser (1999)
1999
Cited alongside, same era.
M. Gromov. “Spaces and questions,” Geom. Funct. Anal. (2000), 118-161GAFA 2000 (Tel Aviv, 1999)
1999
Cited alongside, same era.
R. De Pietri, C. Petronio, J. Math. Phys. 41, 6671-6688 (2000), arXiv:gr-qc/0004045
2000
Cited alongside, same era.
P. Di Francesco, O. Golinelli and E. Guitter, “Meanders: Exact asymptotics,” Nucl. Phys. B 570
2000
Cited alongside, same era.
M. R. Douglas and N. A. Nekrasov, “Noncommutative field theory,” Rev. Mod. Phys. 73
2001
2010
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2010
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V. Bonzom and M. Smerlak, “Bubble divergences from cellular cohomology,” Lett. Math. Phys. 93
2010
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2010
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V. Rivasseau, “Constructive Field Theory in Zero Dimension,” Adv. Math. Phys. 2010
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Cited alongside, same era.
B. Bollobás and O. Riordan, “Polynomial of graphs on surfaces,Ó Math. Ann. 323, 81-96 (2002)
2002
Cited alongside, same era.
B. Collins, “Moments and cumulants of polynomial random variables on unitary groups, the Itzykson- Zuber integral, and free probability,Ó Int. Math. Res. Not. 17, (2003) 953, arXiv:math-ph/0205010
2003
Cited alongside, same era.
L. Freidel and D. Louapre, Phys. Rev. D68, 104004 (2003), hep-th/0211026
2003
Cited alongside, same era.
Carlo Rovelli, “Quantum Gravity”, Cambridge University Press (2004), ISBN 0-521-83733-2
2004
Cited alongside, same era.
M. L. Mehta, “Random Matrices,” Elsevier, Pure and Applied Mathematics (Amsterdam), 142 (2004)
2004
Cited alongside, same era.
J. Pfeiße and G. M. Ziegler, “Many triangulated 3-spheres”, Math. Ann. 330 (2004), 829-837
2004
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2010
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2010
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T. Krajewski, “Group field theories,” PoS QGQGS 2011
2011
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R. Gurau, “The 1/N expansion of colored tensor models,” Annales Henri Poincaré 12
2011
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2011
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R. Gurau, “Colored Group Field Theory,” Commun. Math. Phys. 304
2011
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R. Gurau, “A generalization of the Virasoro algebra to arbitrary dimensions,” Nucl. Phys. B 852
2011
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2011
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R. Gurau, “The Double Scaling Limit in Arbitrary Dimensions: A Toy Model,” Phys. Rev. D 84
2011
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A. Baratin, F. Girelli and D. Oriti, “Diffeomorphisms in group field theories,” Phys. Rev. D 83
2011
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2011
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2011
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2011
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2011
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2011
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A. Tanasa, “Generalization of the Bollobás-Riordan polynomial for tensor graphs,” J. Math. Phys. 52
2011
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J. Ben Geloun, “Ward-Takahashi identities for the colored Boulatov model,” J. Phys. A 44
2011
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2012
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2012
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2012
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2012
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J. P. Ryan, “Tensor models and embedded Riemann surfaces”, Physical Review D, 2012, arXiv:1104.5471
2012
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A. Tanasa, “Multi-orientable Group Field Theory,” J. Phys. A 45
2012
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2012
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2012
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2012
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2012
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2012
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J. Ambjorn, A. Görlich, J. Jurkiewicz and R. Loll, “Causal dynamical triangulations and the search for a theory of quantum gravity,” Int. J. Mod. Phys. D 22
2013
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V. Bonzom, “New 1/N expansions in random tensor models,” JHEP 1306
2013
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2013
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2013
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2013
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V. Bonzom, “Revisiting random tensor models at large N via the Schwinger-Dyson equations,” JHEP 1303
2013
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2013
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J. Ben Geloun and E. R. Livine, “Some classes of renormalizable tensor models,” J. Math. Phys. 54
2013
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2013
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