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arXiv · 2004.04689

Dimensional Reduction, Extended Topological Field Theories and Orbifoldization

Lukas Müller·Lukas Woike
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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.

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Lukas Müller, Lukas Woike. 2020-12-12. Dimensional Reduction, Extended Topological Field Theories and Orbifoldization. https://doi.org/10.1112/blms.12427

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