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Supergeometry in locally covariant quantum field theory (2015)
Journal Article
Hack, T., Hanisch, F., & Schenkel, A. (2016). Supergeometry in locally covariant quantum field theory. Communications in Mathematical Physics, 342(2), 615-673. https://doi.org/10.1007/s00220-015-2516-4

In this paper we analyze supergeometric locally covariant quantum field theories. We develop suitable categories SLoc of super-Cartan supermanifolds, which generalize Lorentz manifolds in ordinary quantum field theory, and show that, starting from a... Read More about Supergeometry in locally covariant quantum field theory.

Homotopy colimits and global observables in Abelian gauge theory (2015)
Journal Article
Benini, M., Schenkel, A., & Szabo, R. J. (2015). Homotopy colimits and global observables in Abelian gauge theory. Letters in Mathematical Physics, 105(9), https://doi.org/10.1007/s11005-015-0765-y

We study chain complexes of field configurations and observables for Abelian gauge theory on contractible manifolds, and show that they can be extended to non-contractible manifolds by using techniques from homotopy theory. The extension prescription... Read More about Homotopy colimits and global observables in Abelian gauge theory.