POLYNOMIAL FUSION RINGS FROM SL(2,R) CHERN-SIMONS THEORY

Authors
IMBIMBO C
Citation
C. Imbimbo, POLYNOMIAL FUSION RINGS FROM SL(2,R) CHERN-SIMONS THEORY, Physics letters. Section B, 308(1-2), 1993, pp. 51-57
Citations number
23
Categorie Soggetti
Physics
Journal title
Physics letters. Section B → ACNP
ISSN journal
03702693
Volume
308
Issue
1-2
Year of publication
1993
Pages
51 - 57
Database
ISI
SICI code
0370-2693(1993)308:1-2<51:PFRFSC>2.0.ZU;2-R
Abstract
We derive the one-variable polynomial fusion rings of the A and D seri es of the SU(2) conformal models and of the minimal models of the Vira soro discrete series from the quantization of the SL(2, R) Chem-Simons theory with fractional charge. Moreover, we associate a fusion ring w ith positive integer structure constants to the Kac-Wakimoto set of ir reducible representations of the SL(2, R) current algebra.