From the 1 of 8 linked papers with an AI index.
8 papers
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…
The homological algebra of 2d integrable field theories
Marco Benini, Alexander Schenkel, Benoit Vicedo
This article provides a detailed and rigorous study of semi-holomorphic Chern-Simons theories and their associated integrable field theories from the homological perspect…
On the equivalence of AQFTs and prefactorization algebras
Marco Benini, Victor Carmona, Alastair Grant-Stuart +1
This paper revisits the equivalence problem between algebraic quantum field theories and prefactorization algebras defined over globally hyperbolic Lorentzian manifolds. We develop…