Dimensional reduction and the equivariant Chern character

Abstract

We propose a dimensional reduction procedure in the Stolz--Teichner framework of supersymmetric Euclidean field theories (EFTs) that is well-suited in the presence of a finite gauge group or, more generally, for field theories over an orbifold. As an illustration, we give a geometric interpretation of the Chern character for manifolds with an action by a finite group.

29 pages. Exposition improvements and expanded appendix B

Cited by in corpus (3)

• Cyclification of Orbifolds
• Power operations in the Stolz--Teichner program
• Supersymmetric field theories from twisted vector bundles