2005/07/31 by Atle Hahn · 1 citation
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.MP #msc:57M27 #msc:60H30 #msc:81T08 #msc:81T13
paper · pdf · doi:10.1142/s021821650800666x
published as J. Knot Theory Ramifications 17(11):1327-1385, 2008 · 44 pages, 2 figures. Changes have been made in Sec. 2.3, Sec 2.4, Sec. 3.4, and Sec. 3.5. Appendix C is new
arxiv created 2011/12/17 · arxiv updated 2011/12/20
In the present paper we extend the "torus gauge fixing approach" by Blau and Thompson (Nucl. Phys. B408(1):345--390, 1993) for Chern-Simons models with base manifolds M of the form M= Σx S1 in a suitable way. We arrive at a heuristic path integral formula for the Wilson loop observables associated to general links in M. We then show that the right-hand side of this formula can be evaluated explicitly in a non-perturbative way and that this evaluation naturally leads to the face models in terms of which Turaev's shadow invariant is defined.