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

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

1994-03-22

arxiv.org/abs/hep-th/9403136v1

Commun.Math.Phys. 169 (1995) 441-462

Physics

High Energy Physics

High Energy Physics - Theory

23 pages

Scientific paper

10.1007/BF02099480

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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