We show that the BRST Lagrangian double copy construction of supergravity as the
'square'of Yang–Mills theory finds a natural interpretation in terms of homotopy algebras. We …

We identify a diffeomorphism Lie algebra in the self-dual sector of Yang-Mills theory, and
show that it determines the kinematic numerators of tree-level MHV amplitudes in the full …

A bstract We give a double copy construction for the symmetries of the self-dual sectors of
Yang-Mills (YM) and gravity, in the light-cone formulation. We find an infinite set of double …

These notes accompany an introductory lecture course on the twistor approach to
supersymmetric gauge theories aimed at early stage PhD students. It was held by the author …

A bstract Working in the self-dual sector for Yang-Mills and gravity, we show how to construct
an extended phase space at null infinity, to all orders in the radial expansion. This formalises …

We explore integrability properties of superstring equations of motion in AdS 5× S 5. We
impose light-cone kappa-symmetry and reparametrization gauges and construct a Lax …

We study structure constants of gauge invariant operators in planar Script N= 4 Yang-Mills at
one loop with the motivation of determining features of the string dual of weak coupling Yang …

The construction of flat currents, and hence conserved non-local charges, for the superstring
on AdS_5 x S^ 5 is generalised. It is shown that such currents exist for sigma-model type …

In this paper we investigate the algebraic structure of AdS/CFT in the strong-coupling limit.
We propose an expression for the classical r-matrix with (deformed) u (2| 2) symmetry, which …

We discuss an interplay between T-duality and integrability for certain classical non-linear
sigma models. In particular, we consider strings on the AdS 5× S 5 background and perform …