On a class of topological quantum field theories in three-dimensions

Details On a class of topological quantum field theories in three-dimensions On a class of topological quantum field theories in three-dimensions

1995-11-07

arxiv.org/abs/hep-th/9511044v1

Int. J. Mod. Phys. A11 (1996) 4577

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, LaTeX, 9 ps figures included

Scientific paper

We investigate the Chung-Fukuma-Shapere theory, or Kuperberg theory, of three-dimensional lattice topological field theory. We construct a functor which satisfies the Atiyah's axioms of topological quantum field theory by reformulating the theory as Turaev-Viro type state-sum theory on a triangulated manifold. The theory can also be extended to give a topological invariant of manifolds with boundary.

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