A remark on the three approaches to 2D quantum gravity
Abstract
The onematrix model is considered. The generating function of the correlation numbers is defined in such a way that this function coincides 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 pcritical Matrix model.
 Publication:

Soviet Journal of Experimental and Theoretical Physics Letters
 Pub Date:
 March 2011
 DOI:
 10.1134/S0021364011020044
 arXiv:
 arXiv:1010.2222
 Bibcode:
 2011JETPL..93...47B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 11 pages. Title changed, presentation improved