M-Theory of Matrix Models

Details M-Theory of Matrix Models M-Theory of Matrix Models

2006-05-17

arxiv.org/abs/hep-th/0605171v1

Teor.Mat.Fiz.150:179-192,2007

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, contribution to the Proceedings of the Workshop "Classical and Quantum Integrable Systems", Protvino, Russia, Januar

Scientific paper

10.1007/s11232-007-0011-6

Small M-theories unify various models of a given family in the same way as the M-theory unifies a variety of superstring models. We consider this idea in application to the family of eigenvalue matrix models: their M-theory unifies various branches of Hermitean matrix model (including Dijkgraaf-Vafa partition functions) with Kontsevich tau-function. Moreover, the corresponding duality relations look like direct analogues of instanton and meron decompositions, familiar from Yang-Mills theory.

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