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Article Dans Une Revue Journal of Statistical Physics Année : 2021

Punctures and p-Spin Curves from Matrix Models II

S. Hikami
  • Fonction : Auteur

Résumé

We report here an extension of a previous work in which we have shown that matrix models provide a tool to compute the intersection numbers of p-spin curves. We discuss further an extension to half-integer p, and in more details for $p=\frac{1}{2}$ and $p=\frac{3}{2}$. In those new cases one finds contributions from the Ramond sector, which were not present for positive integer p. The existence of Virasoro constraints, in particular a string equation, is considered also for half-integral spins. The contribution of the boundary of a Riemann surface, is investigated through a logarithmic matrix model. The supersymmetric random matrices provide extensions to mixed positive and negative p punctures.

Dates et versions

hal-02981267 , version 1 (27-10-2020)

Identifiants

Citer

S. Hikami, E. Brezin. Punctures and p-Spin Curves from Matrix Models II. Journal of Statistical Physics, 2021, 183 (3), pp.36. ⟨10.1007/s10955-021-02776-4⟩. ⟨hal-02981267⟩
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