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math-ph2020
Smooth 1-dimensional algebraic quantum field theories
Marco Benini, Marco Perin, Alexander Schenkel
This paper proposes a refinement of the usual concept of algebraic quantum field theories (AQFTs) to theories that are smooth in the sense that they assign to every smooth family o…
math-ph2020
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…