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.

9 pages

References in corpus (3)

• On Correlation Numbers in 2D Minimal Gravity and Matrix Models
• Matrix Models, Complex Geometry and Integrable Systems. I
• On two-dimensional quantum gravity and quasiclassical integrable hierarchies