q-deformed KZB heat equation: completeness, modular properties and SL(3,Z)
| dc.creator | Felder, Giovanni | |
| dc.creator | Varchenko, Alexander | |
| dc.date | 2001-10-08 | |
| dc.date.accessioned | 2026-07-07T08:56:55Z | |
| dc.date.available | 2026-07-07T08:56:55Z | |
| dc.description | We study the properties of one-dimensional hypergeometric integral solutions of the q-difference ("quantum") analogue of the Knizhnik-Zamolodchikov-Bernard equations on tori. We show that they also obey a difference KZB heat equation in the modular parameter, give formulae for modular transformations, and prove a completeness result, by showing that the associated Fourier transform is invertible. These results are based on SL(3,Z) transformation properties parallel to those of elliptic gamma functions. | |
| dc.description | 39 pages | |
| dc.identifier | https://arxiv.org/abs/math/0110081 | |
| dc.identifier | http://arxiv.org/abs/math/0110081 | |
| dc.identifier | Adv. Math. 171(2002)228-275 | |
| dc.identifier | doi:10.1006/aima.2002.2080 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146785 | |
| dc.subject | Quantum Algebra | |
| dc.title | q-deformed KZB heat equation: completeness, modular properties and SL(3,Z) | |
| dc.type | text |