A Givental-like Formula and Bilinear Identities for Tensor Models

Abstract

In this paper we express some simple random tensor models in a Givental-like fashion i.e. as differential operators acting on a product of generic 1-Hermitian matrix models. Finally we derive Hirota's equations for these tensor models. Our decomposition is a first step towards integrability of such models.

18 pages, 1 figure

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• Random tensor models in the large N limit: Uncoloring the colored tensor models
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Cited by in corpus (2)

• Physical states in the canonical tensor model from the perspective of random tensor networks
• Constraint algebra of general relativity from a formal continuum limit of canonical tensor model