2006/11/30 by Sebastian de Haro, de Haro, Sebastian, Atle Hahn +1
Mathematics · Physics and Astronomy · #57M27 #60H30 #81T08 #81T13 #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #hep-th #math-ph #math.MP #math.QA #msc:57M27 #msc:60H30 #msc:81T08 #msc:81T13
paper · pdf · doi:10.48550/arxiv.math-ph/0611084
28 pages, 7 figures
arxiv created 2012/06/15 · arxiv updated 2012/06/18
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.