Emergent Geometry of Matrix Models with Even Couplings

Abstract

We show that to the modified GUE partition function with even coupling introduced by Dubrovin, Liu, Yang and Zhang, one can associate $n$-point correlation functions in arbitrary genera which satisfy Eynard-Orantin topological recursions. Furthermore, these $n$-point functions are related to intersection numbers on the Deligne-Mumford moduli spaces.

References in corpus (5)

• Mirzakhani's recursion relations, Virasoro constraints and the KdV hierarchy
• Intersection numbers of spectral curves
• Intersection numbers on Deligne-Mumford moduli spaces and quantum Airy curve
• Hodge-GUE correspondence and the discrete KdV equation
• Fat and Thin Emergent Geometries of Hermitian One-Matrix Models

Cited by in corpus (4)

• Grothendieck's Dessins d'Enfants in a Web of Dualities. II
• Grothendieck's Dessins d'Enfants in a Web of Dualities. III
• A formalism of abstract quantum field theory of summation of fat graphs
• On affine coordinates of the tau-function for open intersection numbers