Chern-Simons Theory and the Quantum Racah Formula
| Authors |
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| Publication date | 04-2013 |
| Journal | Reviews in mathematical physics |
| Article number | 1350004 |
| Volume | Issue number | 25 | 3 |
| Number of pages | 41 |
| Organisations |
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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. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1142/S0129055X13500049 |
| Published at | https://arxiv.org/abs/math-ph/0611084 |
| Downloads |
0611084
(Accepted author manuscript)
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