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arXiv · 1305.4596

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

Leszek Hadasz·Michal Pawelkiewicz·Volker Schomerus
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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.

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Leszek Hadasz, Michal Pawelkiewicz, Volker Schomerus. 2013-05-20. Self-dual Continuous Series of Representations for U_q(sl(2)) and U_q(osp(1|2)). https://doi.org/10.1007/jhep10(2014)091

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