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

Mathematical Physics 2015-06-12 v1 High Energy Physics - Theory math.MP

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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Cite

@article{arxiv.1212.6096,
  title  = {The intersection numbers of the p-spin curves from random matrix theory},
  author = {E. Brezin and S. Hikami},
  journal= {arXiv preprint arXiv:1212.6096},
  year   = {2015}
}

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19 pages