The Spectral Problem for the q-Knizhnik-Zamolodchikov Equation
Abstract
We analyse the spectral problem for the q-Knizhnik-Zamolodchikov equations for Uq(sl2) (0 < q ≤ 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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