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Conformal field theory and the solution of the (quantum) elliptic Calogero-Sutherland system

Edwin Langmann

math-pharXiv:math-ph/0411081

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of a conformal field theory model which describes anyons on a circle and at finite temperature, including previously unpublished results.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.

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