Fermionic approach to the evaluation of integrals of rational symmetric 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.

34 pages

References in corpus (3)

• Biorthogonal Polynomials for Potentials of two Variables and External Sources at the Denominator
• Fermionic construction of partition function for multi-matrix models and multi-component TL hierarchy
• Integrals of rational symmetric functions, two matrix models and biorthogonal polynomials

Cited by in corpus (3)

• Integrals of rational symmetric functions, two matrix models and biorthogonal polynomials
• Bi-orthogonal systems on the unit circle, Regular Semi-Classical Weights and Integrable Systems - II
• Solitons and Normal Random Matrices