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The Spectral Problem for the q-Knizhnik-Zamolodchikov Equation

Peter G. O. Freund·Anton V. Zabrodin
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Abstract

We analyse the spectral problem for the q-Knizhnik-Zamolodchikov equations for $U_q(\widehat{sl_2}) (0 < q \leq 1)$ at level zero. The case of 2-point functions in the fundamental representation is studied in detail. The scattering states are found explicitly in terms of continuous q-Jacobi polynomials. The corresponding S-matrix is shown to coincide, up to a trivial factor, with the kink-antikink S-matrix in the spin-1/2 XXZ antiferromagnet.

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Peter G. O. Freund, Anton V. Zabrodin. 1993-05-20. The Spectral Problem for the q-Knizhnik-Zamolodchikov Equation. https://doi.org/10.1016/0370-2693(93)90541-o

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