Emergent Geometry of Matrix Models with Even Couplings

Jian Zhou

Published 2019-03-26Version 1

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.