Self-dual Continuous Series of Representations for U_q(sl(2)) and U_q(osp(1|2))
High Energy Physics - Theory
2015-06-16 v1 Mathematical Physics
math.MP
Quantum Algebra
Representation Theory
Abstract
We determine the Clebsch-Gordan and Racah-Wigner coefficients for continuous series of representations of the quantum deformed algebras U_q(sl(2)) and U_q(osp(1|2)). While our results for the former algebra reproduce formulas by Ponsot and Teschner, the expressions for the orthosymplectic algebra are new. Up to some normalization factors, the associated Racah-Wigner coefficients are shown to agree with the fusing matrix in the Neveu-Schwarz sector of N=1 supersymmetric Liouville field theory.
Keywords
Cite
@article{arxiv.1305.4596,
title = {Self-dual Continuous Series of Representations for U_q(sl(2)) and U_q(osp(1|2))},
author = {Leszek Hadasz and Michal Pawelkiewicz and Volker Schomerus},
journal= {arXiv preprint arXiv:1305.4596},
year = {2015}
}
Comments
36 pages