Generalized Hirota Equations in Models of 2D Quantum Gravity
High Energy Physics - Theory
2007-05-23 v1
Abstract
We derive a set of bilinear functional equations of Hirota type for the partition functions of the 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.
Cite
@article{arxiv.hep-th/9604011,
title = {Generalized Hirota Equations in Models of 2D Quantum Gravity},
author = {Jorge Alfaro and Ivan Kostov},
journal= {arXiv preprint arXiv:hep-th/9604011},
year = {2007}
}
Comments
10 pages, harvmac, no figures