Bilinear Functional Equations in 2D Quantum Gravity

Details Bilinear Functional Equations in 2D Quantum Gravity Bilinear Functional Equations in 2D Quantum Gravity

1996-02-21

arxiv.org/abs/hep-th/9602117v1

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, harvmac, no figures (Talk delivered at the Workshop on "New Trends in Quantum Field Theory", 28 August - 1 September

Scientific paper

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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