60 citations · 722 across the 62 of their papers we have counts for
7 papers · 1 filter
Non-existence of natural states for Abelian Chern-Simons theory
Claudio Dappiaggi, Simone Murro, Alexander Schenkel
We give an elementary proof that Abelian Chern-Simons theory, described as a functor from oriented surfaces to C*-algebras, does not admit a natural state. Non-existence of natural…
Quantum field theories on categories fibered in groupoids
Marco Benini, Alexander Schenkel
We introduce an abstract concept of quantum field theory on categories fibered in groupoids over the category of spacetimes. This provides us with a general and flexible framework…
Global anomalies on Lorentzian space-times
Alexander Schenkel, Jochen Zahn
We formulate an algebraic criterion for the presence of global anomalies on globally hyperbolic space-times in the framework of locally covariant field theory. We discuss some cons…
Mapping spaces and automorphism groups of toric noncommutative spaces
Gwendolyn E. Barnes, Alexander Schenkel, Richard J. Szabo
We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an applic…
Noncommutative principal bundles through twist deformation
Paolo Aschieri, Pierre Bieliavsky, Chiara Pagani +1
We construct noncommutative principal bundles deforming principal bundles with a Drinfeld twist (2-cocycle). If the twist is associated with the structure group then we have a defo…
Working with Nonassociative Geometry and Field Theory
Gwendolyn E. Barnes, Alexander Schenkel, Richard J. Szabo
We review aspects of our formalism for differential geometry on noncommutative and nonassociative spaces which arise from cochain twist deformation quantization of manifolds. We wo…