Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference28 articles.
1. M. Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function, Commun. Math. Phys. 147 (1992) 1 [INSPIRE].
2. E. Witten, The N matrix model and gauged WZW models, Nucl. Phys. B 371 (1992) 191 [INSPIRE].
3. E. Witten, Algebraic geometry associated with matrix models of two dimensional gravity, in Topological methods in modern mathematics, J. Willard Milnor et al. eds., Publish or Perish Inc., U.S.A. (1993).
4. A. Okounkov, Generating functions for intersection numbers on moduli spaces of curves, Int. Math. Res. Not. 18 (2002) 933 [math/0101201].
5. E. Brézin and S. Hikami, Vertices from replica in a random matrix theory, J. Phys
A 40 (2007) 13545 [arXiv:0704.2044].
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献