English

The q-deformed Knizhnik-Zamolodchikov-Bernard heat equation

Quantum Algebra 2009-09-25 v2 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.math/9809139,
  title  = {The q-deformed Knizhnik-Zamolodchikov-Bernard heat equation},
  author = {Giovanni Felder and Alexander Varchenko},
  journal= {arXiv preprint arXiv:math/9809139},
  year   = {2009}
}

Comments

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