The q-deformed Knizhnik-Zamolodchikov-Bernard heat equation

Details The q-deformed Knizhnik-Zamolodchikov-Bernard heat equation The q-deformed Knizhnik-Zamolodchikov-Bernard heat equation

1998-09-24

arxiv.org/abs/math/9809139v2

Comm. Math. Phys. 221 (2001), no. 3, 549--571

Mathematics

Quantum Algebra

18 pages, 1 figure, Latex. Revised and expanded version, with a new section on conformal blocks

Scientific paper

10.1007/s002200100487

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.

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