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arXiv · 0810.2581

The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials

Saburo Kakei·Michitomo Nishizawa·Yoshihisa Saito·Yoshihiro Takeyama
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Abstract

We construct special solutions to the rational quantum Knizhnik-Zamolodchikov equation associated with the Lie algebra $gl_N$. 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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Saburo Kakei, Michitomo Nishizawa, Yoshihisa Saito, Yoshihiro Takeyama. 2009-01-27. The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials. https://doi.org/10.3842/sigma.2009.010

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