Elliptic quantum many-body problem and double affine Knizhnik-Zamolodchikov equation
High Energy Physics - Theory
2009-10-28 v1 Quantum Algebra
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.
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Cite
@article{arxiv.hep-th/9403136,
title = {Elliptic quantum many-body problem and double affine Knizhnik-Zamolodchikov equation},
author = {Ivan Cherednik},
journal= {arXiv preprint arXiv:hep-th/9403136},
year = {2009}
}
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23 pages