Louise Dolan

A Relation between approaches to integrability in superconformal Yang-Mills theory

We make contact between the infinite-dimensional non-local symmetry of the type-IIB superstring on AdS5 × S5 and a non-abelian infinite-dimensional symmetry algebra for the weakly coupled superconformal gauge theory. We explain why the planar limit of the one-loop dilatation operator is the hamiltonian of a spin chain, and show that it commutes with the g2N = 0 limit of the non-abelian charges.

Yangian symmetry in D = 4 superconformal Yang-Mills theory

We will discuss an integrable structure for weakly coupled superconformal Yang-Mills theories, describe certain equivalences for the Yangian algebra, and fill a technical gap in our previous study of this subject.

Proof of the formula of Cachazo, He and Yuan for Yang-Mills tree amplitudes in arbitrary dimension

A bstractA proof is given of the formula, recently proposed by Cachazo, He and Yuan (CHY) for gluon tree amplitudes in pure Yang-Mills theory in arbitrary dimension. The approach is to first establish the corresponding result for massless ϕ3 theory using the BCFW recurrence relation and then to extend this to the gauge theory case. Additionally, it is shown that the scattering equations introduced by CHY can be generalized to massive particles, enabling the description of tree amplitudes for massive ϕ3 theory.

The polynomial form of the scattering equations

A bstractThe scattering equations, recently proposed by Cachazo, He and Yuan as providing a kinematic basis for describing tree amplitudes for massless particles in arbitrary space-time dimension (including scalars, gauge bosons and gravitons), are reformulated in polynomial form. The scattering equations for N particles are shown to be equivalent to a Möbius invariant system of N − 3 equations, h˜

Vertex Operators for AdS3 Background With Ramond Ramond Flux

\tilde{h}

Gluon tree amplitudes in open twistor string theory

m = 0, 2 ≤ m ≤ N − 2, in N variables, where h˜

Spin models and superconformal Yang–Mills theory

\tilde{h}