1305.4596 (Leszek Hadasz et al.)

Self-dual Continuous Series of Representations for U_q(sl(2)) and
U_q(osp(1|2))    [PDF]

Leszek Hadasz, Michal Pawelkiewicz, Volker Schomerus

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.

View original: http://arxiv.org/abs/1305.4596