A Givental-like formula and bilinear identities for tensor models

Stéphane Dartois

doi:10.1007/JHEP08(2015)129

A Givental-like formula and bilinear identities for tensor models

Stéphane Dartois

Institut Galilée
Université Paris-Sud

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Article number	129
Journal	Journal of High Energy Physics
Volume	2015
Issue number	8
DOIs	https://doi.org/10.1007/JHEP08(2015)129
Publication status	Published - 7 Aug 2015
Externally published	Yes

Keywords

Integrable Equations in Physics
Matrix Models
Models of Quantum Gravity

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10.1007/JHEP08(2015)129

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abstract = "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{\textquoteright}s equations for these tensor models. Our decomposition is a first step towards integrability of such models.",

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AB - 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.

KW - Integrable Equations in Physics

KW - Matrix Models

KW - Models of Quantum Gravity

UR - https://www.scopus.com/pages/publications/84941012724

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DO - 10.1007/JHEP08(2015)129

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 8

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A Givental-like formula and bilinear identities for tensor models

Abstract

Keywords

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