Asymptotic expansion of the multi-orientable random tensor model
Combinatorics
2015-05-07 v2 General Relativity and Quantum Cosmology
Abstract
Three-dimensional random tensor models are a natural generalization of the celebrated matrix models. The associated tensor graphs, or 3D maps, can be classified with respect to a particular integer or half-integer, the degree of the respective graph. In this paper we analyze the general term of the asymptotic expansion in N, the size of the tensor, of a particular random tensor model, the multi-orientable tensor model. We perform their enumeration and we establish which are the dominant configurations of a given degree.
Cite
@article{arxiv.1408.5725,
title = {Asymptotic expansion of the multi-orientable random tensor model},
author = {Eric Fusy and Adrian Tanasa},
journal= {arXiv preprint arXiv:1408.5725},
year = {2015}
}
Comments
27 pages, 24 figures, several minor modifications have been made, one figure has been added; accepted for publication in "Electronic Journal of Combinatorics"