Matrix model approach to minimal Liouville gravity revisited

V. Belavin, Yu Rud

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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 Lee-Yang series involving the Ap-1 algebra instead of the previously used A1 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.

Original languageEnglish
Article number18FT01
Pages (from-to)1-11
Number of pages11
JournalJournal of Physics A: Mathematical and Theoretical
Issue number18
StatePublished - 8 May 2015
Externally publishedYes


  • 2D gravity
  • Conformal field theory
  • Matrix Models of 2D Gravity
  • Minimal Liouville gravity


Dive into the research topics of 'Matrix model approach to minimal Liouville gravity revisited'. Together they form a unique fingerprint.

Cite this