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Chern-Simons theory and the quantum Racah formula

Sebastian de Haro·Atle Hahn
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Abstract

We generalize several results on Chern-Simons models on Sigma x S1 in the so-called "torus gauge" which were obtained in arXiv:math-ph/0507040 to the case of general (simply-connected simple compact) structure groups and general link colorings. In particular, we give a non-perturbative evaluation of the Wilson loop observables corresponding to a special class of simple but non-trivial links and show that their values are given by Turaev's shadow invariant. As a byproduct we obtain a heuristic path integral derivation of the quantum Racah formula.

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Sebastian de Haro, Atle Hahn. 2006-11-30. Chern-Simons theory and the quantum Racah formula. https://arxiv.org/abs/math-ph/0611084

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