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Article Dans Une Revue Physical Review D Année : 2012

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

Résumé

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. nonsymmetric, complex tensor. Colors appear in this setting as a canonical bookkeeping 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 gamma(m) = 1 - 1/m.

Dates et versions

hal-00816588 , version 1 (22-04-2013)

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Valentin Bonzom, R. Gurau, Vincent Rivasseau. Random tensor models in the large N limit: Uncoloring the colored tensor models.. Physical Review D, 2012, 85, pp.084037. ⟨10.1103/PhysRevD.85.084037⟩. ⟨hal-00816588⟩
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