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Article Dans Une Revue SIGMA Année : 2016

The Multi-Orientable Random Tensor Model, a Review

Résumé

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.

Dates et versions

hal-01553891 , version 1 (03-07-2017)

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Adrian Tanasa. The Multi-Orientable Random Tensor Model, a Review. SIGMA, 2016, 12, pp.056. ⟨10.3842/SIGMA.2016.056⟩. ⟨hal-01553891⟩

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