The intersection numbers of the p-spin curves from random matrix theory

Published 25 Dec 2012 in math-ph, hep-th, and math.MP | (1212.6096v1)

Abstract: The intersection numbers of p-spin curves are computed through correlation functions of Gaussian ensembles of random matrices in an external matrix source. The p-dependence of intersection numbers is determined as polynomial in p; the large p behavior is also considered. The analytic continuation of intersection numbers to negative values of p is discussed in relation to SL(2,R)/U(1) black hole sigma model.

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