Some recursive formulas for Selberg-type integrals

Abstract

A set of recursive relations satisfied by Selberg-type integrals involving monomial symmetric polynomials are derived, generalizing previously known results. These formulas provide a well-defined algorithm for computing Selberg-Schur integrals whenever the Kostka numbers relating Schur functions and the corresponding monomial polynomials are explicitly known. We illustrate the usefulness of our results discussing some interesting examples.

11 pages. To appear in Jour. Phys. A

References in corpus (3)

• Chern-Simons matrix models and Stieltjes-Wigert polynomials
• Coulomb integrals and conformal blocks in the AdS3-WZNW model
• Coulomb integrals for the SL(2,R) WZNW model

Cited by in corpus (3)

• Matrix model version of AGT conjecture and generalized Selberg integrals
• Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory
• Challenges of beta-deformation