44 citations · 149 across the 12 of their papers we have counts for
12 papers
The Self-Duality Equations on a Riemann Surface and Four-Dimensional Chern-Simons Theory
Roland Bittleston, Lionel Mason, Seyed Faroogh Moosavian
We construct a Lagrangian formulation of Hitchin's self-duality equations on a Riemann surface using potentials for the connection and Higgs field. This two-dimensional action…
Scattering in Instanton Backgrounds
Roland Bittleston, Kevin Costello
In this letter we evaluate one-loop all-plus gluon amplitudes of gauge theory with fundamental fermions in the presence of a flavour instanton background.…
The One-Loop QCD -Function as an Index
Roland Bittleston, Kevin Costello
In this letter we show that the one-loop QCD -function can be obtained from an index theorem on twistor space. This is achieved by recalling that the -angle of self-dual gaug…
Non-Commutative Gauge Theory at the Beach
Roland Bittleston, Simon Heuveline, Surya Raghavendran +1
The KP equation is perhaps the most famous example of a three-dimensional integrable system. Here we show that a non-commutative five-dimensional Chern-Simons theory living on the…
Self-Dual Gauge Theory from the Top Down
Roland Bittleston, Kevin Costello, Keyou Zeng
We introduce a family of dualities between certain non-supersymmetric self-dual gauge theories on a large class of self-dual asymptotically flat backgrounds, and the large …
On AdS deformations of celestial symmetries
Roland Bittleston, Giuseppe Bogna, Simon Heuveline +3
Celestial holography has led to the discovery of new symmetry algebras arising from the study of collinear limits of perturbative gravity amplitudes in flat space. We explain from…
The Celestial Chiral Algebra of Self-Dual Gravity on Eguchi-Hanson Space
Roland Bittleston, Simon Heuveline, David Skinner
We consider the twistor description of classical self-dual Einstein gravity in the presence of a defect operator wrapping a certain . The backreaction of this defect…
On the associativity of 1-loop corrections to the celestial operator product in gravity
Roland Bittleston
The question of whether the holomorphic collinear singularities of graviton amplitudes define a consistent chiral algebra has garnered much recent attention. We analyse a version o…
Quantizing the non-linear graviton
Roland Bittleston, Atul Sharma, David Skinner
We consider holomorphic Poisson-BF theory on twistor space. Classically, this describes self-dual Einstein gravity on space-time, but at the quantum level it is plagued by an anoma…
Twistors, the ASD Yang-Mills equations, and 4d Chern-Simons theory
Roland Bittleston, David Skinner
We show that the approaches to integrable systems via 4d Chern-Simons theory and via symmetry reductions of the anti-self-dual Yang-Mills equations are closely related, at least cl…
Gauge Theory and Boundary Integrability II: Elliptic and Trigonometric Case
Roland Bittleston, David Skinner
We consider the mixed topological-holomorphic Chern-Simons theory introduced by Costello, Yamazaki and Witten on a orbifold. We use this to construct semi-classical…
Gauge Theory and Boundary Integrability
Roland Bittleston, David Skinner
We study the mixed topological / holomorphic Chern-Simons theory of Costello, Witten and Yamazaki on an orbifold , obtaining a description of la…