9 papers
The Trace Field Theory of a Finite Tensor Category
Christoph Schweigert, Lukas Woike
Given a finite tensor category , we prove that a modified trace on the tensor ideal of projective objects can be obtained from a suitable trivialization of the Nakayam…
Dimensional Reduction, Extended Topological Field Theories and Orbifoldization
Lukas Müller, Lukas Woike
We prove a decomposition formula for the dimensional reduction of an extended topological field theory that arises as an orbifold of an equivariant topological field theory. Our de…
Categorification of algebraic quantum field theories
Marco Benini, Marco Perin, Alexander Schenkel +1
This paper develops a concept of 2-categorical algebraic quantum field theories (2AQFTs) that assign locally presentable linear categories to spacetimes. It is proven that ordinary…
The Little Bundles Operad
Lukas Müller, Lukas Woike
Hurwitz spaces are homotopy quotients of the braid group action on the moduli space of principal bundles over a punctured plane. By considering a certain model for this homotopy qu…
Equivariant Higher Hochschild Homology and Topological Field Theories
Lukas Müller, Lukas Woike
We present a version of higher Hochschild homology for spaces equipped with principal bundles for a structure group . As coefficients, we allow -algebras with -acti…
Homotopy theory of algebraic quantum field theories
Marco Benini, Alexander Schenkel, Lukas Woike
Motivated by gauge theory, we develop a general framework for chain complex valued algebraic quantum field theories. Building upon our recent operadic approach to this subject, we…