4 papers
Integrable models from 4d holomorphic BF theory
Lewis T. Cole, Ben Hoare
We show how to construct 2d field theories with holomorphic integrability from defect setups in 4d holomorphic BF. In a simple example setup, we explicitly construct the 2d theory…
On topological defects in Chern-Simons theory
Alex S. Arvanitakis, Lewis T. Cole, Saskia Demulder +1
We construct a new class of topological surface defects in Chern-Simons theory with non-compact, non-Abelian gauge groups. These defects are characterized by isotropic subalgebras…
Integrable Deformations from Twistor Space
Lewis T. Cole, Ryan A. Cullinan, Ben Hoare +2
Integrable field theories in two dimensions are known to originate as defect theories of 4d Chern-Simons and as symmetry reductions of the 4d anti-self-dual Yang-Mills equations. B…
Integrability in Gravity from Chern-Simons Theory
Lewis T. Cole, Peter Weck
This paper presents a new perspective on integrability in theories of gravity. We show how the stationary, axisymmetric sector of General Relativity can be described by the boundar…