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arXiv · 1202.3637

Random tensor models in the large N limit: Uncoloring the colored tensor models

Valentin Bonzom·Razvan Gurau·Vincent Rivasseau
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Abstract

Tensor models generalize random matrix models in yielding a theory of dynamical triangulations in arbitrary dimensions. Colored tensor models have been shown to admit a 1/N expansion and a continuum limit accessible analytically. In this paper we prove that these results extend to the most general tensor model for a single generic, i.e. non-symmetric, complex tensor. Colors appear in this setting as a canonical book-keeping device and not as a fundamental feature. In the large N limit, we exhibit a set of Virasoro constraints satisfied by the free energy and an infinite family of multicritical behaviors with entropy exponents γ_m=1-1/m.

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Valentin Bonzom, Razvan Gurau, Vincent Rivasseau. 2012-02-16. Random tensor models in the large N limit: Uncoloring the colored tensor models. https://doi.org/10.1103/physrevd.85.084037

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