Knizhnik-Zamolodchikov equations and the Calogero-Sutherland-Moser integrable models with exchange terms

TL;DR

This paper demonstrates how solutions to generalized Knizhnik-Zamolodchikov equations can be used to construct eigenfunctions of Calogero-Sutherland-Moser models with exchange terms, extending previous results to more general symmetries.

Contribution

It introduces a method to generate eigenfunctions for integrable models with exchange terms from solutions of generalized KZ equations, broadening the scope of prior work.

Findings

Eigenfunctions constructed from KZ solutions exhibit specified permutational symmetry.

Generalization of previous results to models with exchange terms.

Provides a new link between KZ equations and integrable models.

Abstract

It is shown that from some solutions of generalized Knizhnik-Zamolodchikov equations one can construct eigenfunctions of the Calogero-Sutherland-Moser Hamiltonians with exchange terms, which are characterized by any given permutational symmetry under particle exchange. This generalizes some results previously derived by Matsuo and Cherednik for the ordinary Calogero-Sutherland-Moser Hamiltonians.