Generalized Hirota Equations in Models of 2D Quantum Gravity
Jorge Alfaro, Ivan Kostov
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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