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We construct three dimensional Chern-Simons-matter theories with gauge groups U(N) × U(N) and SU(N) × SU(N) which have explicit = 6 superconformal symmetry. Using brane constructions we argue that… (More)

We compute the three point correlation functions for primordial scalar and tensor fluctuations in single field inflationary models. We obtain explicit expressions in the slow roll limit where the… (More)

We consider field theories with sixteen supersymmetries, which include U(N) Yang-Mills theories in various dimensions, and argue that their large N limit is related to certain supergravity solutions.… (More)

We find the gravity dual of a marginal deformation of = 4 super Yang Mills, and discuss some of its properties. This deformation is intimately connected with an SL(2,) symmetry of the gravity theory.… (More)

We propose a dual non-perturbative description for maximally extended Schwarzschild Anti-de-Sitter spacetimes. The description involves two copies of the conformal field theory associated to the AdS… (More)

We describe how to compute planar gluon scattering amplitudes at strong coupling in = 4 super Yang Mills by using the gauge/string duality. The computation boils down to finding a certain classical… (More)

We present a trace formula for an index over the spectrum of four dimensional superconformal field theories on S3 × time. Our index receives contributions from states invariant under at least one… (More)

We study observables in a conformal field theory which are very closely related to the ones used to describe hadronic events at colliders. We focus on the correlation functions of the energies… (More)

Studies of N = 4 super Yang Mills operators with large R-charge have shown that, in the planar limit, the problem of computing their dimensions can be viewed as a certain spin chain. These spin… (More)

The duality relating near-horizon microstates of black holes obtained as orbifolds of a subset of AdS3 to the states of a conformal field theory is analyzed in detail. The SL(2,R) invariant vacuum on… (More)