Tensor models from the viewpoint of matrix models: the cases of loop models on random surfaces and of the Gaussian distribution

DOI10.4171/AIHPD/14zbMath1310.05084arXiv1304.4152MaRDI QIDQ2342052

Frédéric Combes, Valentin Bonzom

Publication date: 8 May 2015

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4152

zbMATH Keywords

random matrices\(1/N\) expansionrandom tensorsfully packed loop models

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Enumeration in graph theory (05C30) Random matrices (algebraic aspects) (15B52) Coloring of graphs and hypergraphs (05C15)

Related Items (11)

The multi-orientable random tensor model, a review ⋮ Double scaling limit for the O(N)³-invariant tensor model ⋮ Invitation to random tensors ⋮ Enhancing non-melonic triangulations: a tensor model mixing melonic and planar maps ⋮ Spontaneous symmetry breaking in tensor theories ⋮ Ward identities and combinatorics of rainbow tensor models ⋮ Colored triangulations of arbitrary dimensions are stuffed Walsh maps ⋮ Diagrammatics of a colored SYK model and of an SYK-like tensor model, leading and next-to-leading orders ⋮ Generalized cut operation associated with higher order variation in tensor models ⋮ A new large \(N\) expansion for general matrix-tensor models ⋮ The large \(D\) limit of planar diagrams

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