The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials
We construct special solutions to the rational quantum Knizhnik-Zamolodchikov equation associated with the Lie algebra glN. The main ingredient is a special class of the shifted non-symmetric Jack polynomials. It may be regarded as a shifted version of the singular polynomials studied by Dunkl. We p...
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Veröffentlicht in: | Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2009-01, Vol.5, p.010 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | We construct special solutions to the rational quantum Knizhnik-Zamolodchikov equation associated with the Lie algebra glN. The main ingredient is a special class of the shifted non-symmetric Jack polynomials. It may be regarded as a shifted version of the singular polynomials studied by Dunkl. We prove that our solutions contain those obtained as a scaling limit of matrix elements of the vertex operators of level one. |
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ISSN: | 1815-0659 1815-0659 |
DOI: | 10.3842/SIGMA.2009.010 |