Supersymmetric field theories from twisted vector bundles

Abstract

We give a description of the delocalized twisted cohomology of an orbifold and the Chern character of a twisted vector bundle in terms of supersymmetric Euclidean field theories. This includes the construction of a twist functor for $1|1$-dimensional EFTs from the data of a gerbe with connection.

33 pages

References in corpus (2)

• Boundary Conditions for Topological Quantum Field Theories, Anomalies and Projective Modular Functors
• Dimensional reduction and the equivariant Chern character

Cited by in corpus (1)

• Power operations in the Stolz--Teichner program