Papers

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$C^\ast$-categorical prefactorization algebras for superselection sectors and topological order

Marco Benini, Victor Carmona, Pieter Naaijkens, Alexander Schenkel
May 12, 2025
prefactorization algebras, C*-categories, higher algebra, algebraic quantum field theory, Superselection sectors, topological order
open access link

An equivalence theorem for algebraic and functorial QFT

Severin Bunk, James MacManus, Alexander Schenkel
April 22, 2025
algebraic quantum field theory, functorial quantum field theory, Lorentzian geometry, bordisms, pseudo-operads
open access link

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

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

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 Lett. Math. Phys. 115, 16 (2025)

Universal first-order Massey product of a prefactorization algebra

Simen Bruinsma, Alexander Schenkel, Benoit Vicedo
July 10, 2023
prefactorization algebras, dg-operads, minimal models, Massey products
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

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