Intersection numbers of Riemann surfaces from Gaussian matrix models

  title={Intersection numbers of Riemann surfaces from Gaussian matrix models},
  author={Edouard Br{\'e}zin and S. Hikami}
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… CONTINUE READING

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