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Intersection numbers from the antisymmetric Gaussian matrix model

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Published Article
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Submission Date
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DOI: 10.1088/1126-6708/2008/07/050
Source
arXiv
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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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