Conformal field theory and the solution of the (quantum) elliptic Calogero-Sutherland system
Mathematical Physics
2007-05-23 v2 High Energy Physics - Theory
math.MP
Abstract
We review the construction of a conformal field theory model which describes anyons on a circle and at finite temperature, including previously unpublished results. This anyon model is closely related to the quantum elliptic Calogero-Sutherland (eCS) system. We describe this relation and how it has led to an explicit construction of the eigenvalues and eigenfunctions of the eCS system.
Keywords
Cite
@article{arxiv.math-ph/0411081,
title = {Conformal field theory and the solution of the (quantum) elliptic Calogero-Sutherland system},
author = {Edwin Langmann},
journal= {arXiv preprint arXiv:math-ph/0411081},
year = {2007}
}
Comments
v2: minor corrections; references added. 18 pages, contribution to conference ``Non-commutative geometry and representation theory in mathematical physics'' in Karlstad (Sweden), 5-10 July 2004