Generalized Hirota Equations in Models of 2D Quantum Gravity
نویسندگان
چکیده
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.
منابع مشابه
Bilinear Functional Equations in 2D Quantum Gravity
The microscopic theories of quantum gravity related to integrable lattice models can be constructed as special deformations of pure gravity. Each such deformation is defined by a second order differential operator acting on the coupling constants. As a consequence, the theories with matter fields satisfy a set of constraints inherited from the integrable structure of pure gravity. In particular...
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