Genus one correlation to multi-cut matrix model solutions

Abstract

We calculate genus one corrections to Hermitian one-matrix model solution with arbitrary number of cuts directly from the loop equation confirming the answer previously obtained from algebro-geometrical considerations and generalizing it to the case of arbitrary potentials.

15 pages, no figures

References in corpus (2)

• DV and WDVV
• Genus one contribution to free energy in hermitian two-matrix model

Cited by in corpus (18)

• Open string amplitudes and large order behavior in topological string theory
• Hermitean matrix model free energy: Feynman graph technique for all genera
• Free energy topological expansion for the 2-matrix model
• Large N expansion for the 2D Dyson gas
• Matrix eigenvalue model: Feynman graph technique for all genera
• Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula
• Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence
• Topological recursion for chord diagrams, RNA complexes, and cells in moduli spaces
• Matrix models with hard walls: Geometry and solutions
• Conifold geometries, topological strings and multi-matrix models
• Quantum curves and conformal field theory
• Double Scaling Limits in Gauge Theories and Matrix Models
• Determinant Formulas for Matrix Model Free Energy
• Double Scaling Limits and Twisted Non-Critical Superstrings
• A Lagrangean formalism for Hermitean matrix models
• Topological open string amplitudes on local toric del Pezzo surfaces via remodeling the B-model
• Dijkgraaf-Vafa conjecture and beta-deformed matrix models
• Proof of the Lagrangean formalism of Hermitean 1-matrix models to all orders