Generalized Hirota Equations in Models of 2D Quantum Gravity

Details Generalized Hirota Equations in Models of 2D Quantum Gravity Generalized Hirota Equations in Models of 2D Quantum Gravity

1996-04-02

arxiv.org/abs/hep-th/9604011v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, harvmac, no figures

Scientific paper

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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