# Fermionic approach to the evaluation of integrals of rational symmetric functions

## TL;DR

This paper introduces a fermionic method to evaluate integrals of rational symmetric functions using two-matrix model partition functions, offering an alternative to direct evaluation methods.

## Contribution

It presents a novel fermionic construction approach for calculating integrals of rational symmetric functions in the context of two-matrix models.

## Key findings

- Fermionic approach effectively evaluates integrals of rational symmetric functions.
- Provides a complementary method to existing direct evaluation techniques.
- Enhances understanding of two-matrix model partition functions.

## Abstract

We use the fermionic construction of two-matrix model partition functions to evaluate integrals over rational symmetric functions. This approach is complementary to the one used in the paper ``Integrals of Rational Symmetric Functions, Two-Matrix Models and Biorthogonal Polynomials'' \cite{paper2}, where these integrals were evaluated by a direct method.