The q-deformed Knizhnik-Zamolodchikov-Bernard heat equation

Authors
Felder, G Varchenko, A
Citation
G. Felder et A. Varchenko, The q-deformed Knizhnik-Zamolodchikov-Bernard heat equation, COMM MATH P, 221(3), 2001, pp. 549-571
Citations number
16
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
221
Issue
3
Year of publication
2001
Pages
549 - 571
Database
ISI
SICI code
0010-3616(200108)221:3<549:TQKHE>2.0.ZU;2-3
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 giv e the dependence on the marked points.