Intersection numbers of Riemann surfaces from Gaussian matrix models
High Energy Physics - Theory
2009-06-10 v1
Abstract
We consider a Gaussian random matrix theory in the presence of an external matrix source. This matrix model, after duality (a simple version of the closed/open string duality), yields a generalized Kontsevich model through an appropriate tuning of the external source. The n-point correlation functions of this theory are shown to provide the intersection numbers of the moduli space of curves with a p-spin structure, n marked points and top Chern class. This sheds some light on Witten's conjecture on the relationship with the pth-KdV equation.
Cite
@article{arxiv.0709.3378,
title = {Intersection numbers of Riemann surfaces from Gaussian matrix models},
author = {E. Brezin and S. Hikami},
journal= {arXiv preprint arXiv:0709.3378},
year = {2009}
}