The universal Racah-Wigner symbol for Uq(osp(1|2))
High Energy Physics - Theory
2014-04-15 v2
Abstract
We propose a new and elegant formula for the Racah-Wigner symbol of self-dual continuous series of representations of Uq(osp(1|2)). It describes the entire fusing matrix for both NS and R sector of N=1 supersymmetric Liouville field theory. In the NS sector, our formula is related to an expression derived in [1]. Through analytic continuation in the spin variables, our universal expression reproduces known formulas for the Racah-Wigner coefficients of finite dimensional representations.
Keywords
Cite
@article{arxiv.1307.6866,
title = {The universal Racah-Wigner symbol for Uq(osp(1|2))},
author = {Michal Pawelkiewicz and Volker Schomerus and Paulina Suchanek},
journal= {arXiv preprint arXiv:1307.6866},
year = {2014}
}
Comments
27 pages, v2: discussion of analytic continuation of the main formula extended; some clarifications added