3 citations · 4 across the 9 of their papers we have counts for
9 papers
Computational homological methods for integrable field theories
Marco Benini, Ryan A. Cullinan, Alexander Schenkel +1
We develop explicit computational tools for the recent homological approach to the construction of -dimensional integrable field theories on from -dimensional semi-holomo…
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…
An equivalence theorem for algebraic and functorial QFT
Severin Bunk, James MacManus, Alexander Schenkel
This paper develops a novel approach to functorial quantum field theories (FQFTs) in the context of Lorentzian geometry. The key challenge is that globally hyperbolic Lorentzian bo…
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…
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…
Infinitesimal 2-braidings from 2-shifted Poisson structures
Cameron Kemp, Robert Laugwitz, Alexander Schenkel
It is shown that every -shifted Poisson structure on a finitely generated semi-free commutative differential graded algebra defines a very explicit infinitesimal -braidin…
5d 2-Chern-Simons theory and 3d integrable field theories
Alexander Schenkel, Benoit Vicedo
The -dimensional semi-holomorphic Chern-Simons theory of Costello and Yamazaki provides a gauge-theoretic origin for the Lax connection of -dimensional integrable field theor…