A remark on the three approaches to 2D Quantum gravity

Details A remark on the three approaches to 2D Quantum gravity A remark on the three approaches to 2D Quantum gravity

2010-10-11

arxiv.org/abs/1010.2222v3

JETP Lett.93:47-51,2011

Physics

High Energy Physics

High Energy Physics - Theory

11 pages. Title changed, presentation improved

Scientific paper

10.1134/S0021364011020044

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 $p$-critical Matrix model.

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