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

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.

23 pages

References in corpus (2)

• Lattice Integrable Systems of Haldane-Shastry Type
• Spectrum of a spin chain with inverse square exchange

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