2 citations · 2 across the 3 of their papers we have counts for
5 papers
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…
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…
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…
Twisted characters and holomorphic symmetries
Ingmar Saberi, Brian R. Williams
We consider holomorphic twists of arbitrary supersymmetric theories in four dimensions. Working in the BV formalism, we rederive classical results characterizing the holomorphic tw…
Toroidal prefactorization algebras associated to holomorphic fibrations and a relationship to vertex algebras
Matt Szczesny, Jackson Walters, Brian Williams
Let be a complex manifold, a locally trivial holomorphic fibration with fiber , and a Lie algebra with an invariant symmetric form. We as…