6 papers
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…
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…