34 citations · 98 across the 23 of their papers we have counts for
15 papers · 1 filter
Duality of generalized Maxwell theories as an equivalence in derived geometry
Chris Elliott, Owen Gwilliam, Ingmar Saberi +1
We propose a non-perturbative description of the moduli spaces encoding p-form generalized Maxwell theories in any dimension, using derived differential geometry. Our approach synt…
Remarks on the locality of generalized global symmetries
Owen Gwilliam
We examine generalized global symmetries as a kind of compactly supported cohomology, and so are led to revisit questions about the locality of quantum field theory, following Sega…
Twists of superconformal algebras
Chris Elliott, Owen Gwilliam, Matteo Lotito
We take first steps toward a theory of ``conformal twists'' for superconformal field theories in dimension 3 to 6, extending the well-known analysis of twists for supersymmetric th…
Factorization algebra
Kevin Costello, Owen Gwilliam
Factorization algebras are local-to-global objects living on manifolds, and they arise naturally in mathematics and physics. Their local structure encompasses examples like associa…
The observables of a perturbative algebraic quantum field theory form a factorization algebra
Owen Gwilliam, Kasia Rejzner
We demonstrate that perturbative algebraic QFT methods, as developed by Fredenhagen and Rejzner, naturally yields a factorization algebras of observables for a large class of Loren…
Defects via Factorization Algebras
Ivan Contreras, Chris Elliott, Owen Gwilliam
We provide a mathematical formulation of the idea of a defect for a field theory, in terms of the factorization algebra of observables and using the BV formalism. Our approach foll…
A homological approach to the Gaussian Unitary Ensemble
Owen Gwilliam, Alastair Hamilton, Mahmoud Zeinalian
We study the Gaussian Unitary Ensemble (GUE) using noncommutative geometry and the homological framework of the Batalin-Vilkovisky (BV) formalism. Coefficients of the correlation f…
Framed -Algebras from Quantum Field Theory
Chris Elliott, Owen Gwilliam
This paper addresses the following question: given a topological quantum field theory on built from an action functional, when is it possible to globalize the theory…
Higher Deformation Quantization for Kapustin-Witten Theories
Chris Elliott, Owen Gwilliam, Brian R Williams
We pursue a uniform quantization of all twists of 4-dimensional N = 4 supersymmetric Yang-Mills theory, using the BV formalism, and we explore consequences for factorization algebr…
Quantization of topological-holomorphic field theories: local aspects
Owen Gwilliam, Eugene Rabinovich, Brian R. Williams
In both mathematics and physics, topological field theories and holomorphic field theories appear naturally, but there are interesting theories that are hybrids -- looking topologi…
Spontaneous symmetry breaking: a view from derived geometry
Chris Elliott, Owen Gwilliam
We examine symmetry breaking in field theory within the framework of derived geometry, as applied to field theory via the Batalin-Vilkovisky formalism. Our emphasis is on the stand…
A one-loop exact quantization of Chern-Simons theory
Owen Gwilliam, Brian R. Williams
We examine Chern-Simons theory as a deformation of a 3-dimensional BF theory that is partially holomorphic and partially topological. In particular, we introduce a novel gauge that…
Relating nets and factorization algebras of observables: free field theories
Owen Gwilliam, Kasia Rejzner
In this paper we relate two mathematical frameworks that make perturbative quantum field theory rigorous: perturbative algebraic quantum field theory (pAQFT) and the factorization…
The holomorphic bosonic string
Owen Gwilliam, Brian Williams
We present a holomorphic version of the bosonic string in the formalism of quantum field theory developed by Costello and collaborators. In this paper we focus on the case in which…
How to derive Feynman diagrams for finite-dimensional integrals directly from the BV formalism
Owen Gwilliam, Theo Johnson-Freyd
The Batalin-Vilkovisky formalism in quantum field theory was originally invented to address the difficult problem of finding diagrammatic descriptions of oscillating integrals with…