Anyonic Defect Branes and Conformal Blocks in Twisted Equivariant Differential K-Theory
Urs Schreiber (Prague U.)

The talks begins with an exposition of higher equivariant principal bundle theory, using a convenient category/homotopy-theoretic approach. By way of example and application, I’ll then show how this provides a pleasantly transparent way to understand:

1. the CPT-twisting of equivariant K-theory, which has come to be known as the “10-fold way”,

2. the neglected twisting of equivariant K-theory by “inner local systems” appearing inside orbi-singularities.

I’ll close by briefly indicating how, under the interpretation of K-cohomology as D-brane charge, these two facts have remarkable consequences for the physics of exotic “defect branes” in string theory (arxiv:2203.11838). This is joint work with H. Sati.

ncatlab.org/schreiber/show/Anyonic+defect+branes+in+TED-K-theory