English

On Correlation Numbers in 2D Minimal Gravity and Matrix Models

High Energy Physics - Theory 2009-07-22 v1

Abstract

We test recent results for the four-point correlation numbers in Minimal Liouville Gravity against calculations in the one-Matrix Models, and find full agreement. In the process, we construct the resonance transformation which relates coupling parameters of the Liouville Gravity with the couplings of the Matrix Models, up to the terms of the order 4. We also conjecture the general form of this transformation.

Keywords

Cite

@article{arxiv.0811.0450,
  title  = {On Correlation Numbers in 2D Minimal Gravity and Matrix Models},
  author = {A. A. Belavin and A. B. Zamolodchikov},
  journal= {arXiv preprint arXiv:0811.0450},
  year   = {2009}
}

Comments

Talk presented at "Liouville Gravity and Statistical Models", International conference in memory of Alexei Zamolodchikov, Moscow, June 21-24 2008

R2 v1 2026-06-21T11:37:55.964Z