73 citations · 445 across the 37 of their papers we have counts for
5 papers · 1 filter
Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory
Marco Benini, Giorgio Musante, Alexander Schenkel
We construct and compare two alternative quantizations, as a time-orderable prefactorization algebra and as an algebraic quantum field theory valued in cochain complexes, of a natu…
Strictification theorems for the homotopy time-slice axiom
Marco Benini, Victor Carmona, Alexander Schenkel
It is proven that the homotopy time-slice axiom for many types of algebraic quantum field theories (AQFTs) taking values in chain complexes can be strictified. This includes the ca…
Green hyperbolic complexes on Lorentzian manifolds
Marco Benini, Giorgio Musante, Alexander Schenkel
We develop a homological generalization of Green hyperbolic operators, called Green hyperbolic complexes, which cover many examples of derived critical loci for gauge-theoretic qua…
Quantization of derived cotangent stacks and gauge theory on directed graphs
Marco Benini, Jonathan P. Pridham, Alexander Schenkel
We study the quantization of the canonical unshifted Poisson structure on the derived cotangent stack of a quotient stack, where is a smooth affine scheme with an…
Homotopy theory of net representations
Angelos Anastopoulos, Marco Benini
The homotopy theory of representations of nets of algebras over a (small) category with values in a closed symmetric monoidal model category is developed. We illustrate how each mo…