A quantum group version of quantum gauge theories in two dimensions

Details A quantum group version of quantum gauge theories in two dimensions A quantum group version of quantum gauge theories in two dimensions

1992-07-09

arxiv.org/abs/hep-th/9207026v1

J.Phys. A25 (1992) L1151-L1154

Physics

High Energy Physics

High Energy Physics - Theory

6 pages (plain TeX)

Scientific paper

For the special case of the quantum group $SL_q (2,{\bf C})\ (q= \exp \pi i/r,\ r\ge 3)$ we present an alternative approach to quantum gauge theories in two dimensions. We exhibit the similarities to Witten's combinatorial approach which is based on ideas of Migdal. The main ingredient is the Turaev-Viro combinatorial construction of topological invariants of closed, compact 3-manifolds and its extension to arbitrary compact 3-manifolds as given by the authors in collaboration with W. Mueller.

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