The Chiral Supereigenvalue Model

TL;DR

This paper introduces and solves a supersymmetric extension of the complex one matrix model using superloop equations, providing explicit multi-loop correlation functions and higher genus contributions.

Contribution

It presents the first solution of a supersymmetric generalization of the complex matrix model with explicit multi-loop and higher genus results.

Findings

Closed expressions for all planar multi-superloop correlation functions.

An iterative scheme for higher genus contributions.

Explicit genus one results.

Abstract

A supereigenvalue model with purely positive bosonic eigenvalues is presented and solved by considering its superloop equations. This model represents the supersymmetric generalization of the complex one matrix model, in analogy to the relation between the supereigenvalue and the hermitian one matrix model. Closed expressions for all planar multi-superloop correlation functions are found. Moreover an iterative scheme allows the calculation of higher genus contributions to the free energy and to the correlators. Explicit results for genus one are given.