Dimensional reduction, extended topological field theories and orbifoldization. Issue 2 (28th October 2020)

• Record Type: Journal Article
• Authors: Müller, Lukas; Woike, Lukas
• Is Part Of: Bulletin of the London Mathematical Society. Volume 53:Issue 2(2021)
• Page Start: 392
• Page End: 403
• Publication Date: 2020-10-28
• Subjects: 57R56 (primary) -- 18D05 -- 18D10 (secondary); Mathematics -- Periodicals; 510
• DOI: 10.1112/blms.12427
• Languages: English
• ISSNs: 0024-6093

Abstract

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.