Punctures and p-spin curves from matrix models II
arXiv:2010.01444 · doi:10.1007/s10955-021-02776-4
Abstract
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=1/2 and p=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.
27 pages
References in corpus (8)
- Asymptotically free N=2 theories and irregular conformal blocks
- Intersection theory from duality and replica
- The Super Period Matrix With Ramond Punctures
- Intersection numbers of Riemann surfaces from Gaussian matrix models
- Computing topological invariants with one and two-matrix models
- Combinatorial models for moduli spaces of open Riemann surfaces
- Punctures and p-spin curves from matrix models II
- Punctures and p-spin curves from matrix models