Minimal Liouville gravity on the torus via the Douglas string equation
Abstract
In this paper we assume that the partition function in minimal Liouville gravity (MLG) obeys the Douglas string equation. This conjecture makes it possible to compute the torus correlation numbers in (3,p) MLG. We perform this calculation using also the resonance relations between the coupling constants in the KdV frame and in the Liouville frame. We obtain explicit expressions for the torus partition function and for the one and twopoint correlation numbers.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 February 2015
 DOI:
 10.1088/17518113/48/6/065401
 Bibcode:
 2015JPhA...48f5401S