All Outputs (4)

Smooth 1-Dimensional Algebraic Quantum Field Theories (2021)
Journal Article
Benini, M., Perin, M., & Schenkel, A. (2022). Smooth 1-Dimensional Algebraic Quantum Field Theories. Annales Henri Poincaré, 23, 2069-2111. https://doi.org/10.1007/s00023-021-01132-2

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 of spacetimes a smooth family of observable algebras. Using stacks of c... Read More about Smooth 1-Dimensional Algebraic Quantum Field Theories.

Batalin–Vilkovisky quantization of fuzzy field theories (2021)
Journal Article
Nguyen, H., Schenkel, A., & Szabo, R. J. (2021). Batalin–Vilkovisky quantization of fuzzy field theories. Letters in Mathematical Physics, 111(6), Article 149. https://doi.org/10.1007/s11005-021-01490-2

We apply the modern Batalin–Vilkovisky quantization techniques of Costello and Gwilliam to noncommutative field theories in the finite-dimensional case of fuzzy spaces. We further develop a generalization of this framework to theories that are equiva... Read More about Batalin–Vilkovisky quantization of fuzzy field theories.

Classical BV formalism for group actions (2021)
Journal Article
Benini, M., Safronov, P., & Schenkel, A. (2023). Classical BV formalism for group actions. Communications in Contemporary Mathematics, 25(1), Article 2150094. https://doi.org/10.1142/S0219199721500942

We study the derived critical locus of a function f: [X/G] → 1 on the quotient stack of a smooth affine scheme X by the action of a smooth affine group scheme G. It is shown that dCrit(f) R [Z/G] is a derived quotient stack for a derived affine schem... Read More about Classical BV formalism for group actions.

Categorification of algebraic quantum field theories (2021)
Journal Article
Benini, M., Perin, M., Schenkel, A., & Woike, L. (2021). Categorification of algebraic quantum field theories. Letters in Mathematical Physics, 111(2), Article 35. https://doi.org/10.1007/s11005-021-01371-8

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 AQFTs embed as a coreflective full 2-subcategory into the 2-category... Read More about Categorification of algebraic quantum field theories.