Papers

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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

Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory

Marco Benini, Giorgio Musante, Alexander Schenkel
December 05, 2022
factorization algebras, algebraic quantum field theories, homological methods in gauge theory, globally hyperbolic Lorentzian manifolds, Green hyperbolic operators
open access link

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)

Green hyperbolic complexes on Lorentzian manifolds

Marco Benini, Giorgio Musante, Alexander Schenkel
July 08, 2022
homological methods in gauge theory, globally hyperbolic Lorentzian manifolds, Green hyperbolic operators, dg-categories
open access link

Quantization of derived cotangent stacks and gauge theory on directed graphs

Marco Benini, Jonathan P. Pridham, Alexander Schenkel
January 25, 2022
Derived algebraic geometry, derived cotangent stack, quotient stack, Deformation quantization, lattice gauge theory
open access link

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

Classical BV formalism for group actions

Marco Benini, Pavel Safronov, Alexander Schenkel
April 30, 2021
Derived algebraic geometry, derived critical locus, quotient stack, Batalin-Vilkovisky formalism
open access link Commun. Contemp. Math. 25(1), 2150094 (2023)

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

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