The Multi-Orientable Random Tensor Model, a Review

Symmetry Integrability and Geometry-Methods and Applications

article

Adrian Tanasa¹ 

[1] Univ. Bordeaux

关键词: random tensor models;    asymptotic expansions;   

DOI  :  10.3842/SIGMA.2016.056

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown