34 citations · 98 across the 23 of their papers we have counts for
28 papers
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…
Chern-Simons factorization algebras and knot polynomials
Kevin Costello, John Francis, Owen Gwilliam
This work identifies the Reshetikhin-Turaev invariant of links in terms of a trace map on factorization homology. In particular, to recover the knot invariants associated to Chern-…
Multivariate Multicycle Codes for Complete Single-Shot Decoding
Feroz Ahmed Mian, Owen Gwilliam, Stefan Krastanov
We introduce multivariate multicycle (MM) codes, a new family of quantum error-correcting codes (QECCs) that unifies bivariate bicycle, multivariate bicycle, abelian two-block grou…
Holomorphic field theories and higher algebra
Owen Gwilliam, Brian R. Williams
Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogues of the rich interplay between Riemann surfaces, Virasoro and Kac-Moody Li…
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…
Large phenomena and quantization of the Loday-Quillen-Tsygan theorem
Grégory Ginot, Owen Gwilliam, Alastair Hamilton +1
We offer a new approach to large limits using the Batalin-Vilkovisky formalism, both commutative and noncommutative, and we exhibit how the Loday-Quillen-Tsygan Theorem admits…
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…
Factorization algebras and abelian CS/WZW-type correspondences
Owen Gwilliam, Eugene Rabinovich, Brian R. Williams
We develop a method of quantization for free field theories on manifolds with boundary where the bulk theory is topological in the direction normal to the boundary and a local boun…
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…
Higher Kac-Moody algebras and symmetries of holomorphic field theories
Owen Gwilliam, Brian R. Williams
We introduce a higher dimensional generalization of the affine Kac-Moody algebra using the language of factorization algebras. In particular, on any complex manifold there is a fac…
Duals and adjoints in higher Morita categories
Owen Gwilliam, Claudia Scheimbauer
We study duals for objects and adjoints for -morphisms in , an -category that models a higher Morita category for algebra…
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…
Chiral differential operators via Batalin-Vilkovisky quantization
Vassily Gorbounov, Owen Gwilliam, Brian R Williams
We show that the local observables of the curved beta gamma system encode the sheaf of chiral differential operators using the machinery of the book "Factorization algebras in quan…
Linear Batalin-Vilkovisky quantization as a functor of -categories
Owen Gwilliam, Rune Haugseng
We study linear Batalin-Vilkovisky (BV) quantization, which is a derived and shifted version of the Weyl quantization of symplectic vector spaces. Using a variety of homotopical ma…
Lie algebroids as spaces
Ryan E. Grady, Owen Gwilliam
In this paper, we relate Lie algebroids to Costello's version of derived geometry. For instance, we show that each Lie algebroid -and the natural generalization to dg Lie algebr…