A connection between lattice and surgery constructions of three-dimensional topological field theories
High Energy Physics - Theory
2015-06-26 v1 High Energy Physics - Lattice
Abstract
We study the relation between lattice construction and surgery construction of three-dimensional topological field theories. We show that a class of the Chung-Fukuma-Shapere theory on the lattice has representation theoretic reformulation which is closely related to the Altschuler-Coste theory constructed by surgery. There is a similar relation between the Turaev-Viro theory and the Reshetikhin-Turaev theory.
Keywords
Cite
@article{arxiv.hep-th/9507146,
title = {A connection between lattice and surgery constructions of three-dimensional topological field theories},
author = {Masako Asano and Saburo Higuchi},
journal= {arXiv preprint arXiv:hep-th/9507146},
year = {2015}
}
Comments
14 pages, LaTeX, 3 ps figures included