Advances in Theoretical and Mathematical Physics
Volume 21 (2017)
Categorification of Dijkgraaf–Witten theory
Pages: 1023 – 1061
The goal of the paper is to categorify Dijkgraaf–Witten (DW) theory, aiming at providing foundation for a direct construction of DW 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.
This work was supported by the World Premier International Research Center Initiative (WPI), MEXT, Japan, and a grant from the Simons Foundation (#282349 to A. V.).