GENERALIZED HYPERGEOMETRIC-FUNCTIONS ON THE TORUS AND THE ADJOINT REPRESENTATION OF UQ(SL2)

Authors
CRIVELLI M FELDER G WIECZERKOWSKI C
Citation
M. Crivelli et al., GENERALIZED HYPERGEOMETRIC-FUNCTIONS ON THE TORUS AND THE ADJOINT REPRESENTATION OF UQ(SL2), Communications in Mathematical Physics, 154(1), 1993, pp. 1-23
Citations number
31
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
154
Issue
1
Year of publication
1993
Pages
1 - 23
Database
ISI
SICI code
0010-3616(1993)154:1<1:GHOTTA>2.0.ZU;2-J
Abstract
We study the homology groups with coefficient in local systems arising in the free field representation of minimal models of conformal field theory on an elliptic curve with punctures. We define an action of th e quantum enveloping algebra U(q)(sl2) on a space of relative cycles, extending results obtained previously for the sphere. Absolute cycles are identified with singular vectors. In the case of one puncture, we find that the resulting topological representation is essentially the adjoint representation.