Categorification of Dijkgraaf-Witten Theory
Algebraic Topology
2016-02-10 v2 High Energy Physics - Theory
Category Theory
Quantum Algebra
Abstract
The goal of the paper is to categorify Dijkgraaf-Witten theory, aiming at providing foundation for a direct construction of Dijkgraaf-Witten theory as an Extended Topological Quantum Field Theory. The main tool is cohomology with coefficients in a Picard groupoid, namely the Picard groupoid of hermitian lines.
Keywords
Cite
@article{arxiv.1511.00295,
title = {Categorification of Dijkgraaf-Witten Theory},
author = {Amit Sharma and Alexander A. Voronov},
journal= {arXiv preprint arXiv:1511.00295},
year = {2016}
}
Comments
28 pages; submitted version containing minor modifications