This article is cited in 33 papers

The Multi-Orientable Random Tensor Model, a Review

Adrian Tanasa<sup>abc

a</sup> H. Hulubei National Institute for Physics and Nuclear Engineering, P.O. Box MG-6, 077125 Magurele, Romania
^b Univ. Bordeaux, LaBRI, UMR 5800, 351 cours de la Libération, 33400 Talence, France
^c IUF, 1 rue Descartes, 75231 Paris Cedex 05, France

Abstract: After its introduction (initially within a group field theory framework) in [Tanasa A., J. Phys. A: Math. Theor. 45 (2012), 165401, 19 pages, arXiv:1109.0694], the multi-orientable (MO) tensor model grew over the last years into a solid alternative of the celebrated colored (and colored-like) random tensor model. In this paper we review the most important results of the study of this MO model: the implementation of the $1/N$ expansion and of the large $N$ limit ($N$ being the size of the tensor), the combinatorial analysis of the various terms of this expansion and finally, the recent implementation of a double scaling limit.

Keywords: random tensor models; asymptotic expansions.

MSC: 05C90; 60B20; 81Q30; 81T99

Received: December 8, 2015; in final form June 10, 2016; Published online June 15, 2016

Language: English

DOI: 10.3842/SIGMA.2016.056

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ArXiv: 1512.02087