The q-deformed Knizhnik-Zamolodchikov-Bernard heat equation
arXiv:math/9809139 · doi:10.1007/s002200100487
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.
18 pages, 1 figure, Latex. Revised and expanded version, with a new section on conformal blocks