Punctures and p-spin curves from matrix models II

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.

arXiv comment27 pages

References in corpus (24)

• Universal singularity at the closure of a gap in a random matrix theory
• Asymptotically free N=2 theories and irregular conformal blocks
• Fusion rules and logarithmic representations of a WZW model at fractional level
• Lectures on curved beta-gamma systems, pure spinors, and anomalies
• The su(2)_{-1/2} WZW model and the beta-gamma system
• Intersection theory on moduli of disks, open KdV and Virasoro
• A new cohomology class on the moduli space of curves
• Unitary And Hermitian Matrices In An External Field II: The Kontsevich Model And Continuum Virasoro Constraints
• Topological Landau-Ginzburg Formulation and Integrable Structure of 2d String Theory
• Intersection theory from duality and replica
• Open intersection numbers, Kontsevich-Penner model and cut-and-join operators
• The Super Period Matrix With Ramond Punctures
• Intersection numbers of Riemann surfaces from Gaussian matrix models
• On an Airy matrix model with a logarithmic potential
• Duality and replicas for a unitary matrix model
• The intersection numbers of the p-spin curves from random matrix theory
• Computing topological invariants with one and two-matrix models
• Combinatorial models for moduli spaces of open Riemann surfaces
• The tautological ring of ${\mathcal{M}}_{g,n}$ via Pandharipande-Pixton-Zvonkine $r$-spin relations
• Intersection numbers from the antisymmetric Gaussian matrix model
• Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes
• Punctures and p-spin curves from matrix models II
• Random super matrices with an external source
• Punctures and p-spin curves from matrix models

Cited by in corpus (2)

• Punctures and p-spin curves from matrix models II
• Punctures and p-spin curves from matrix models III. Dl type and logarithmic potential