From the 2 of 9 linked papers with an AI index.
9 papers
An equivalence theorem for algebraic and functorial QFT
Severin Bunk, James MacManus, Alexander Schenkel
The paper introduces a flexible notion of Lorentzian bordisms to define functorial quantum field theories and proves an equivalence between these theories and algebraic quantum fie…
Computational homological methods for integrable field theories
Marco Benini, Ryan A. Cullinan, Alexander Schenkel +1
The paper develops explicit computational tools using homotopy transfer of cyclic L∞‑algebras to construct 2‑dimensional integrable field theories from 4‑dimensional semi‑holomorph…
Derived algebraic geometry of 2d lattice Yang-Mills theory
Marco Benini, Tomás Fernández, Alexander Schenkel
A derived algebraic geometric study of classical -Yang-Mills theory on the -dimensional square lattice is presented. The derived critical locus of…
Prefactorization algebras of superselection sectors
Marco Benini, Victor Carmona, Alexander Schenkel
This paper revisits the theory of superselection sectors in algebraic quantum field theory from the modern perspective of prefactorization algebras. Under the standard assumptions…
On the structure of higher-dimensional integrable field theories
Marco Benini, Ryan A. Cullinan, Alexander Schenkel +1
We propose a general framework for integrable field theories in arbitrary spacetime dimension which is based on -term -algebras. Specifically, we introduce cycli…
Shifted Poisson structures on higher Chevalley-Eilenberg algebras
Cameron Kemp, Robert Laugwitz, Alexander Schenkel
This paper develops a graphical calculus to determine the -shifted Poisson structures on finitely generated semi-free commutative differential graded algebras. When applied to t…