English

A remark on the three approaches to 2D Quantum gravity

High Energy Physics - Theory 2011-03-31 v3

Abstract

The one-matrix model is considered. The generating function of the correlation numbers is defined in such a way that this function coincide with the generating function of the Liouville gravity. Using the Kontsevich theorem we explain that this generating function is an analytic continuation of the generating function of the Topological gravity. We check the topological recursion relations for the correlation functions in the pp-critical Matrix model.

Keywords

Cite

@article{arxiv.1010.2222,
  title  = {A remark on the three approaches to 2D Quantum gravity},
  author = {A. Belavin and M. Bershtein and G. Tarnopolsky},
  journal= {arXiv preprint arXiv:1010.2222},
  year   = {2011}
}

Comments

11 pages. Title changed, presentation improved

R2 v1 2026-06-21T16:26:57.027Z