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2020

Blobbed topological recursion for correlation functions in tensor models

Bonzom, Valentin, Dub, Nicolas

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Tensor models are generalizations of matrix models and as such, it is a natural question to ask whether they satisfy some form of the topological recursion.

The world of unitary-invariant observables is however much richer in tensor models than in matrix models.
It is therefore a priori unclear which set of observables could satisfy the topological recursion.
Such a set of observables was identified a few years ago in the context of the quartic melonic model by the first author and Dartois.

Blobbed topological recursion for correlation functions in tensor models · Around

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V. Bonzom, V. Nador and A. Tanasa, “Diagrammatics of the quartic O ( N ) 3 O(N)^{3} -invariant Sachdev-Ye-Kitaev-like tensor model,” J. Math. Phys. 60
Original
1903
Earlier work this paper cites.
R. C. Avohou, J. Ben Geloun and N. Dub, “On the counting of O ⁡ ( N ) O(N) tensor invariants,” Adv. Theor. Math. Phys. 24
Original
1907
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.
L. Chekhov and B. Eynard, “Hermitean matrix model free energy: Feynman graph technique for all genera,” JHEP 03
2004
Earlier work this paper cites.
M. Bousquet-Mélou and A. Jehanne, “Polynomial equations with one catalytic variable, algebraic series and map enumeration,” J. Combin. Theory Ser. B 96
2006
Earlier work this paper cites.
J. Ben Geloun and S. Ramgoolam, “Counting Tensor Model Observables and Branched Covers of the 2-Sphere,” Ann. Inst. H. Poincare Comb. Phys. Interact. 1
Original
2010
Earlier work this paper cites.
R. Gurau, “The 1/N expansion of colored tensor models,” Annales Henri Poincaré 12
Original
2012
Earlier work this paper 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
Earlier work this paper cites.
G. Borot, J. Bouttier and E. Guitter, “More on the O(n) model on random maps via nested loops: loops with bending energy,” J. Phys. A: Math. Theor. 45
Original
2012
Earlier work this paper cites.

Similar

S. Dartois, R. Gurau and V. Rivasseau, “Double Scaling in Tensor Models with a Quartic Interaction,” JHEP 1309
Original
2013
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V. Bonzom, “Revisiting random tensor models at large N via the Schwinger-Dyson equations,” JHEP 1303
Original
2013
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V. Bonzom, R. Gurau, J. P. Ryan and A. Tanasa, “The double scaling limit of random tensor models,” JHEP 1409
Original
2014
Cited alongside, same era.
E. Fusy and A. Tanasa, “Asymptotic expansion of the multi-orientable random tensor model,” Electronic journal of combinatorics 22(1) (2015), #P1.52 [arXiv:1408.5725 [math.CO]]
Original
2015
Cited alongside, same era.
V. A. Nguyen, S. Dartois and B. Eynard, “An analysis of the intermediate field theory of T 4 tensor model,” JHEP 1501

Then

S. Carrozza and A. Tanasa, “ O ⁡ ( N ) O(N) Random Tensor Models,” Lett. Math. Phys. 106
Original
2016
Later among the works it cites.
B. Eynard and N. Orantin, “Algebraic methods in random matrices and enumerative geometry,” [arXiv:0811.3531 [math-ph]]. B. Eynard, “Counting surfaces,” volume 70 of Progress in Mathematics. Birkhäuser, Basel, 2016
Original
2016
Later among the works it cites.
R. Gurau, “Random tensors,” Oxford University Press (2017)
2017
Later among the works it cites.
V. Bonzom, L. Lionni and V. Rivasseau, “Colored triangulations of arbitrary dimensions are stuffed Walsh maps,” Elec. J. of Combin. 24
Original
2017
Later among the works it cites.
I. R. Klebanov, F. Popov and G. Tarnopolsky, “TASI Lectures on Large N N Tensor Models,” PoS TASI2017
Original

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