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arXiv · 0804.4531

Intersection numbers from the antisymmetric Gaussian matrix model

Edouard Brezin·Shinobu Hikami
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Abstract

The matrix model of topological field theory for the moduli space of p-th spin curves is extended to the case of the Lie algebra of the orthogonal group. We derive a new duality relation for the expectation values of characteristic polynomials in the antisymmetric Gaussian matrix model with an external matrix source. The intersection numbers for non-orientable surfaces of spin curves with k marked points are obtained from the Fourier transform of the k-point correlation functions at the critical point where the gap is closing.

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Edouard Brezin, Shinobu Hikami. 2008-04-29. Intersection numbers from the antisymmetric Gaussian matrix model. https://doi.org/10.1088/1126-6708%2F2008%2F07%2F050

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