All Outputs (5)

Quantum field theories on categories fibered in groupoids (2017)
Journal Article
Benini, M., & Schenkel, A. (2017). Quantum field theories on categories fibered in groupoids. Communications in Mathematical Physics, 356(1), 19-64. https://doi.org/10.1007/s00220-017-2986-7

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 to study quantum field theories defined on spacetimes with extra geome... Read More about Quantum field theories on categories fibered in groupoids.

Global anomalies on Lorentzian space-times (2017)
Journal Article
Schenkel, A., & Zahn, J. (2017). Global anomalies on Lorentzian space-times. Annales Henri Poincaré, 18(8), 2693-2714. https://doi.org/10.1007/s00023-017-0590-1

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 consequences and check that it reproduces the well-known global SU(2) anom... Read More about Global anomalies on Lorentzian space-times.

Mapping spaces and automorphism groups of toric noncommutative spaces (2017)
Journal Article
Barnes, G. E., Schenkel, A., & Szabo, R. J. (2017). Mapping spaces and automorphism groups of toric noncommutative spaces. Letters in Mathematical Physics, 107(9), 1591-1628. https://doi.org/10.1007/s11005-017-0957-8

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 application we study the 'internalized' automorphism group of a toric noncom... Read More about Mapping spaces and automorphism groups of toric noncommutative spaces.

Wavefront sets and polarizations on supermanifolds (2017)
Journal Article
Dappiaggi, C., Gimperlein, H., Murro, S., & Schenkel, A. (2017). Wavefront sets and polarizations on supermanifolds. Journal of Mathematical Physics, 58(2), Article 23504. https://doi.org/10.1063/1.4975213

In this paper we develop the foundations for microlocal analysis on supermanifolds. Making use of pseudodifferential operators on supermanifolds as introduced by Rempel and Schmitt, we define a suitable notion of super wavefront set for superdistribu... Read More about Wavefront sets and polarizations on supermanifolds.

Non-existence of natural states for Abelian Chern–Simons theory (2017)
Journal Article
Dappiaggi, C., Murro, S., & Schenkel, A. (2017). Non-existence of natural states for Abelian Chern–Simons theory. Journal of Geometry and Physics, 116, 119-123. https://doi.org/10.1016/j.geomphys.2017.01.015

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 states is thus not only a phenomenon of quantum field theories on Lor... Read More about Non-existence of natural states for Abelian Chern–Simons theory.