Elliptic quantum many-body problem and double affine Knizhnik-Zamolodchikov equation

Preprint

22 March 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9403136

Abstract

The elliptic-matrix quantum Olshanetsky-Perelomov problem is introduced for arbitrary root systems by means of an elliptic generalization of the Dunkl operators. Its equivalence with the double affine generalization of the Knizhnik-Zamolodchikov equation (in the induced representations) is established.

Keywords

ZAMOLODCHIKOV EQUATION
KNIZHNIK ZAMOLODCHIKOV
ELLIPTIC QUANTUM
AFFINE KNIZHNIK
DOUBLE AFFINE
ROOT SYSTEMS
BODY PROBLEM

All Related Versions

Version 1, 1994-03-22, ArXiv
Published version: Communications in Mathematical Physics, 169 (2), 441.

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