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arXiv · hep-th/9602117

Bilinear Functional Equations in 2D Quantum Gravity

I. K. Kostov
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Abstract

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, a set of bilinear functional equations for each theory with matter fields follows from the Hirota equations defining the KP (KdV) structure of pure gravity.

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I. K. Kostov. 1996-02-21. Bilinear Functional Equations in 2D Quantum Gravity. https://arxiv.org/abs/hep-th/9602117

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