20 citations · 79 across the 14 of their papers we have counts for
14 papers
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…
The Derived Pure Spinor Formalism as an Equivalence of Categories
Chris Elliott, Fabian Hahner, Ingmar Saberi
We construct a derived generalization of the pure spinor superfield formalism and prove that it exhibits an equivalence of dg-categories between multiplets for a supertranslation a…
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…
Holomorphic Poisson Field Theories
Chris Elliott, Brian R Williams
We construct a class of quantum field theories depending on the data of a holomorphic Poisson structure on a piece of the underlying spacetime. The main technical tool relies on a…
Quantum Geometric Langlands Categories from N = 4 Super Yang-Mills Theory
Chris Elliott, Philsang Yoo
We describe the family of supersymmetric twists of super Yang--Mills theory using derived algebraic geometry, starting from holomorphic Chern--Simons theory on $ \…
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 Taxonomy of Twists of Supersymmetric Yang--Mills Theory
Chris Elliott, Pavel Safronov, Brian R. Williams
We give a complete classification of twists of supersymmetric Yang--Mills theories in dimensions . We formulate supersymmetric Yang--Mills theory classically using…
Multiplicative Hitchin Systems and Supersymmetric Gauge Theory
Chris Elliott, Vasily Pestun
Multiplicative Hitchin systems are analogues of Hitchin's integrable system based on moduli spaces of G-Higgs bundles on a curve C where the Higgs field is group-valued, rather tha…
Topological twists of supersymmetric algebras of observables
Chris Elliott, Pavel Safronov
We explain how to perform topological twisting of supersymmetric field theories in the language of factorization algebras. Namely, given a supersymmetric factorization algebra with…
A Physical Origin for Singular Support Conditions in Geometric Langlands Theory
Chris Elliott, Philsang Yoo
We explain how the nilpotent singular support condition introduced into the geometric Langlands conjecture by Arinkin and Gaitsgory arises naturally from the point of view of N = 4…
Asymptotic Freedom in the BV Formalism
Chris Elliott, Brian Williams, Philsang Yoo
We define the beta-function of a perturbative quantum field theory in the mathematical framework introduced by Costello -- combining perturbative renormalization and the BV formali…
Geometric Langlands Twists of N = 4 Gauge Theory from Derived Algebraic Geometry
Chris Elliott, Philsang Yoo
We develop techniques for describing the derived moduli spaces of solutions to the equations of motion in twists of supersymmetric gauge theories as derived algebraic stacks. We in…
Abelian Duality for Generalised Maxwell Theories
Chris Elliott
We describe a construction of generalized Maxwell theories -- higher analogues of abelian gauge theories -- in the factorization algebra formalism of Costello and Gwilliam, allowin…