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The q-Deformed Knizhnik–Zamolodchikov–Bernard Heat Equation
Authors:Giovanni Felder  Alexander Varchenko
Affiliation:(1) Departement Mathematik, ETH-Zentrum, 8092 Zúrich, Switzerland, CH;(2) Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250, USA, US
Abstract:We introduce a q-deformation of the genus one sl 2 Knizhnik–Zamolodchikov–Bernard heat equation. We show that this equation for the dependence on the moduli of elliptic curves is compatible with the qKZB equations, which give the dependence on the marked points. Received: 4 October 2000 / Accepted: 25 March 2001
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