On a class of topological quantum field theories in three-dimensions
High Energy Physics - Theory
2015-06-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9511044,
title = {On a class of topological quantum field theories in three-dimensions},
author = {Masako Asano},
journal= {arXiv preprint arXiv:hep-th/9511044},
year = {2015}
}
Comments
22 pages, LaTeX, 9 ps figures included