RIND seminar on Mathematical Physics and String Theory

May 9, 2022 at 4 p.m. c.t. only via BigBlueButton

Ilka Brunner (LMU München)
Nils Carqueville (Universität Wien)
Hans Jockers (JGU Mainz)
Peter Mayr (LMU München)
Simone Noja (Universität Heidelberg)
Ivo Sachs (LMU München)
Johannes Walcher (Universität Heidelberg)

Joint seminar series on Mathematical Physics and String Theory

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.