Generalized Hirota Equations in Models of 2D Quantum Gravity

1996/04/02 by Jorge Alfaro, Alfaro, Jorge, Ivan Kostov +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9604011

10 pages, harvmac, no figures

arxiv created 1996/04/02 · arxiv updated 2009/11/30

Abstract

We derive a set of bilinear functional equations of Hirota type for the partition functions of the sl(2) related integrable statistical models defined on a random lattice. These equations are obtained as deformations of the Hirota equations for the KP integrable hierarchy, which are satisfied by the partition function of the ensemble of planar graphs.

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• Tau functions of the UC hierarchy as partition functions of matrix models

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