Papers

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Derived algebraic geometry of 2d lattice Yang-Mills theory

Marco Benini, Tomás Fernández, Alexander Schenkel
September 10, 2024
Derived algebraic geometry, derived critical locus, lattice gauge theory, dg-categories, prefactorization algebras
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

Obstructions to the existence of Møller maps

Marco Benini, Alastair Grant-Stuart, Giorgio Musante, Alexander Schenkel
October 31, 2023
perturbative field theory, Møller maps, Batalin-Vilkovisky formalism, L∞-algebras
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

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 Lett Math Phys 114, 36 (2024)

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 doi:10.1007/s00220-023-04807-5

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

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