Matrix model approach to minimal Liouville gravity revisited
Abstract
Using the connection with the Frobenius manifold (FM) structure, we study the matrix model description of minimal Liouville gravity (MLG) based on the Douglas String equation. Our goal is to find an exact discrete formulation of the (q,p) MLG model that intrinsically contains information about the conformal selection rules. We discuss how to modify the FM structure appropriately for this purposes. We propose a modification of the construction for LeeYang series involving the {{A}_{p1}} algebra instead of the previously used A_{1} algebra. With the new prescription, we calculate correlators on the sphere up to four points and find full agreement with the continuous approach without using resonance transformations.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 May 2015
 DOI:
 10.1088/17518113/48/18/18FT01
 arXiv:
 arXiv:1502.05575
 Bibcode:
 2015JPhA...48rFT01B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 11 pages