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The intersection numbers for general integer p-spin curves of the moduli space are evaluated from the n-point functions in matrix models in Laurent expansions. The results coincide with the previous… Click to show full abstract
The intersection numbers for general integer p-spin curves of the moduli space are evaluated from the n-point functions in matrix models in Laurent expansions. The results coincide with the previous values derived from the recursive p-th KdV equation. The extension to the half-integers p=1/2, p= - 1/2 and to the negative integer p=-2, -3 cases are investigated in this formulation. The strong coupling expansions with a logarithmic potential are examined by Laplace-Borel transformation for the character expansions. The intersection numbers of D types of the ADE singularities are derived by this matrix model.
Journal Title: Journal of Statistical Physics
Year Published: 2021
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