Papers

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On the equivalence of AQFTs and prefactorization algebras

Marco Benini, Victor Carmona, Alastair Grant-Stuart, Alexander Schenkel
December 10, 2024
algebraic quantum field theory, factorization algebras, homotopical algebra, operads, localizations, Lorentzian geometry
open access link

Haag-Kastler stacks

Marco Benini, Alastair Grant-Stuart, Alexander Schenkel
April 22, 2024
algebraic quantum field theory, locally covariant quantum field theory, Lorentzian geometry, stacks, descent conditions, locally presentable categories
open access link

Lorentzian bordisms in algebraic quantum field theory

Severin Bunk, James MacManus, Alexander Schenkel
August 02, 2023
algebraic quantum field theory, functorial field theory, Lorentzian geometry, bordisms, pseudo-categories
open access link

Operads, homotopy theory and higher categories in algebraic quantum field theory

Marco Benini, Alexander Schenkel
May 05, 2023
algebraic quantum field theory, operads, model categories, higher category theory
open access link

The linear CS/WZW bulk/boundary system in AQFT

Marco Benini, Alastair Grant-Stuart, Alexander Schenkel
February 14, 2023
algebraic quantum field theory, boundary conditions in gauge theory, chiral conformal field theory, Chern-Simons theory, Wess-Zumino-Witten model
open access link doi:10.1007/s00023-023-01346-6

Strictification theorems for the homotopy time-slice axiom

Marco Benini, Victor Carmona, Alexander Schenkel
August 08, 2022
algebraic quantum field theory, Gauge theory, homotopical algebra, chain complexes, operads, localizations
open access link Lett. Math. Phys. 113, 20 (2023)

A skeletal model for 2d conformal AQFTs

Marco Benini, Luca Giorgetti, Alexander Schenkel
November 02, 2021
algebraic quantum field theory, conformal field theory, localization of categories
open access link doi:10.1007/s00220-022-04428-4

Relative Cauchy evolution for linear homotopy AQFTs

Simen Bruinsma, Christopher J. Fewster, Alexander Schenkel
August 24, 2021
algebraic quantum field theory, relative Cauchy evolution, Gauge theory, homotopical algebra, chain complexes, BRST/BV formalism
open access link doi:10.1007/s00220-022-04352-7

Smooth 1-dimensional algebraic quantum field theories

Marco Benini, Marco Perin, Alexander Schenkel
October 26, 2020
algebraic quantum field theory, stacks of categories, vertical geometry of fiber bundles, smoothly parametrized differential equations
open access link

Categorification of algebraic quantum field theories

Marco Benini, Marco Perin, Alexander Schenkel, Lukas Woike
March 30, 2020
algebraic quantum field theory, 2-categories, 2-operads, quasi-coherent sheaves, locally presentable linear categories, categorified orbifold theories, local-to-global extensions
open access link Lett. Math. Phys. 111, 35 (2021)

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