3 papers
hep-th2018
't Hooft anomalies of discrete gauge theories and non-abelian group cohomology
Lukas Müller, Richard J. Szabo
We study discrete symmetries of Dijkgraaf-Witten theories and their gauging in the framework of (extended) functorial quantum field theory. Non-abelian group cohomology is used to…
hep-th2018
Geometry and 2-Hilbert Space for Nonassociative Magnetic Translations
Severin Bunk, Lukas Müller, Richard J. Szabo
We suggest a geometric approach to quantisation of the twisted Poisson structure underlying the dynamics of charged particles in fields of generic smooth distributions of magnetic…
math.QA2018
Parallel Transport of Higher Flat Gerbes as an Extended Homotopy Quantum Field Theory
Lukas Müller, Lukas Woike
We prove that the parallel transport of a flat -gerbe on any given target space gives rise to an -dimensional extended homotopy quantum field theory. In case the target spa…