29 citations · 110 across the 27 of their papers we have counts for
3 papers · 1 filter
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…
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…
Operads for algebraic quantum field theory
Marco Benini, Alexander Schenkel, Lukas Woike
We construct a colored operad whose category of algebras is the category of algebraic quantum field theories. This is achieved by a construction that depends on the choice of a cat…