Correlation functions and spectral curves in models of minimal gravity

Abstract

The correlation functions for models of minimal gravity are discussed. An algorithm is proposed for calculations of invariant ratios from formulas of residues that can be compared with the coefficients of expansion of the partition function in Liouville theory. For (2,2K-1) models transition coefficient from basis of quasiclassical hierarchy to basis Liouville theory is obtained evidently, and the hypothesis about exact form of spectral curve has been verified.