Papers

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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

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

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)

Linear Yang-Mills theory as a homotopy AQFT

Marco Benini, Simen Bruinsma, Alexander Schenkel
June 03, 2019
algebraic quantum field theory, locally covariant quantum field theory, Gauge theory, derived critical locus, homotopical algebra, chain complexes, BRST/BV formalism
open access link doi:10.1007/s00220-019-03640-z

Model-independent comparison between factorization algebras and algebraic quantum field theory on Lorentzian manifolds

Marco Benini, Marco Perin, Alexander Schenkel
March 08, 2019
algebraic quantum field theory, factorization algebras, Lorentzian geometry
open access link doi:10.1007/s00220-019-03561-x

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