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New 1/N expansions in random tensor models · Around

2012

New 1/N expansions in random tensor models

Bonzom, Valentin

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Understand

Although random tensor models were introduced twenty years ago, it is only in 2011 that Gurau proved the existence of a 1/N expansion.

Here we show that there actually is more than a single 1/N expansion, depending on the dimension.
These new expansions can be used to define tensor models for `rectangular' tensors (whose indices have different sizes).
In the large N limit, they retain more than the melonic graphs.

Built on

V. Bonzom, “Multicritical tensor models and hard dimers on spherical random lattices,” arXiv:1201.1931 [hep-th]
Original
1931
Earlier work this paper cites.
J. Ambjorn, B. Durhuus and T. Jonsson, “Three-Dimensional Simplicial Quantum Gravity And Generalized Matrix Models,” Mod. Phys. Lett. A 6
1991
Earlier work this paper cites.
N. Sasakura, “Tensor model for gravity and orientability of manifold,” Mod. Phys. Lett. A 6
1991
Earlier work this paper cites.
M. Gross, “Tensor models and simplicial quantum gravity in > > 2-D,” Nucl. Phys. Proc. Suppl. 25A
1992
Earlier work this paper cites.
F. David, “Simplicial quantum gravity and random lattices,” Les Houches Sum. Sch. 1992:0679-750. arXiv:hep-th/9303127
1992
Earlier work this paper cites.

Similar

P. Di Francesco, P. H. Ginsparg and J. Zinn-Justin, “2-D Gravity and random matrices,” Phys. Rept. 254
1995
Cited alongside, same era.
J. Ambjorn and J. Jurkiewicz, “Scaling in four-dimensional quantum gravity,” Nucl. Phys. B 451
1995
Cited alongside, same era.
R. Gurau, “The 1/N expansion of colored tensor models,” Annales Henri Poincare 12
Original
2011
Cited alongside, same era.
R. Gurau and V. Rivasseau, “The 1/N expansion of colored tensor models in arbitrary dimension,” Europhys. Lett. 95
Original
2011
Cited alongside, same era.
V. Bonzom, R. Gurau, A. Riello and V. Rivasseau, “Critical behavior of colored tensor models in the large N limit,” Nucl. Phys. B853
Original
2011
Cited alongside, same era.

Then

R. Gurau, “A generalization of the Virasoro algebra to arbitrary dimensions,” Nucl. Phys. B 852
Original
2011
Later among the works it cites.
V. Bonzom, R. Gurau and V. Rivasseau, “Random tensor models in the large N limit: Uncoloring the colored tensor models,” Phys. Rev. D 85
Original
2012
Closest in time.
V. Bonzom and H. Erbin, “Coupling of hard dimers to dynamical lattices via random tensors,” J. Stat. Mech. 1209 (2012) P09009. arXiv:1204.3798 [cond-mat.stat-mech]
Original
2012
Closest in time.
R. Gurau, “The Schwinger Dyson equations and the algebra of constraints of random tensor models at all orders,” Nucl. Phys. B 865
Original
2012
Closest in time.

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R. Gurau, “The complete 1/N expansion of colored tensor models in arbitrary dimension,” arXiv:1102.5759 [gr-qc]

Cited in the paper.

R. Gurau, “Universality for Random Tensors,” arXiv:1111.0519 [math.PR]

Cited in the paper.

V. Bonzom, “Revisiting random tensor models at large N via the Schwinger-Dyson equations,” arXiv:1208.6216 [hep-th]

Cited in the paper.

J. Ambjorn, “Simplicial Euclidean and Lorentzian quantum gravity,” arXiv:gr-qc/0201028

Cited in the paper.