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

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

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

Temporal Lorentzian Spectral Triples

Nicolas Franco
September 02, 2014
noncommutative geometry, Lorentzian geometry, spectral triples
open access link Rev. Math. Phys., Vol. 26, No. 8, 1430007 (2014)

Diamond-Shaped Regions as Microcosmoi

Pedro Lauridsen Ribeiro
October 25, 2010
Lorentzian geometry, Cauchy time function
open access link
Preliminary version, comments welcome