Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations

Details Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations

2008-02-13

arxiv.org/abs/0802.1776v2

SIGMA 4 (2008), 049, 13 pages

Mathematics

Quantum Algebra

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2008.049

Solutions of the qKZ equation associated with the quantum affine algebra
$U_q(\hat{sl}_2)$ and its two dimensional evaluation representation are
studied. The integral formulae derived from the free field realization of
intertwining operators of $q$-Wakimoto modules are shown to coincide with those
of Tarasov and Varchenko.

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