Dimensional Reduction, Extended Topological Field Theories and Orbifoldization
Quantum Algebra
2020-12-15 v2 Mathematical Physics
Algebraic Topology
math.MP
Abstract
We prove a decomposition formula for the dimensional reduction of an extended topological field theory that arises as an orbifold of an equivariant topological field theory. Our decomposition formula can be expressed in terms of a categorification of the integral with respect to groupoid cardinality. The application of our result to topological field theories of Dijkgraaf-Witten type proves a recent conjecture of Qiu-Wang.
Keywords
Cite
@article{arxiv.2004.04689,
title = {Dimensional Reduction, Extended Topological Field Theories and Orbifoldization},
author = {Lukas Müller and Lukas Woike},
journal= {arXiv preprint arXiv:2004.04689},
year = {2020}
}
Comments
12 pages; very small changes, to appear in Bull. London Math. Soc