Attempts to solve Yang-Mills theory must eventually face the problem of analyzing the theory at intermediate values of the coupling constant. In this regime neither perturbation theory nor the… (More)

Berenstein, Maldacena, and Nastase have proposed, as a limit of the strong form of the AdS/CFT correspondence, that string theory in a particular plane wave background is dual to a certain subset of… (More)

This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection we present an overview of the achievements and the status of… (More)

In this note we further investigate the procedure for computing tree-level amplitudes in Yang-Mills theory from connected instantons in the B-model on P, emphasizing that the problem of calculating… (More)

It has been recently proposed that string theory in the background of a plane wave corresponds to a certain subsector of the N = 4 supersymmetric Yang-Mills theory. This correspondence follows as a… (More)

It was recently shown that the string theory duals of certain deformations of the N = 4 gauge theory can be obtained by a combination of T-duality transformations and coordinate shifts. Here we work… (More)

We consider a non-supersymmetric example of the AdS/CFT duality which generalizes the supersymmetric exactly marginal deformation constructed in hep-th/0502086. The string theory background we use… (More)

The logarithmic running of marginal double-trace operators is a general feature of 4-d field theories containing scalar fields in the adjoint or bifundamental representation. Such operators provide… (More)

Recently a new recursion relation for tree-level gluon amplitudes in gauge theory has been discovered. We solve this recursion to obtain explicit formulas for the closed set of amplitudes with… (More)

We analyze in detail the relation between an exactly marginal deformation of N = 4 SYM – the Leigh-Strassler or “β-deformation” – and its string theory dual (recently constructed in hep-th/0502086)… (More)