Stable Non--Perturbative Minimal Models Coupled to 2D Quantum Gravity
Clifford Johnson, Tim Morris, Bill Spence
Abstract
A generalisation of the non--perturbatively stable solutions of string equations which respect the KdV flows, obtained recently for the (2m-1,2) conformal minimal models coupled to two--dimensional quantum gravity, is presented for the (p,q) models. These string equations are the most general string equations compatible with the q--th generalised KdV flows. They exhibit a close relationship with the bi-hamiltonian structure in these hierarchies. The Ising model is studied as a particular example, for which a real non-singular numerical solution to the string susceptibility is presented.
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