Maldacena’s duality between conformal field theories and supergravity is applied to some conformal invariant models with 8 supercharges appearing in the F-theory moduli space on a locus of constant coupling. This includes Sp(2N) gauge theories describing the worldvolume dynamics of D3-branes

= 1 supersymmetric SU(N) gauge theories with Nf flavors. We further suggest bounds on the mass-squared of tachyonic fields in this background that should restrict the theory to the conformal window.

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We consider N = 1, D = 4 superconformal U(N) p×q Yang-Mills theories dual to AdS5 × S 5 /Zp × Zq orbifolds. We construct the dilatation operator of this superconformal gauge theory at one-loop planar level. We demonstrate that a specific sector of this dilatation operator can be thought

Abstract: We discuss the Yangian symmetry recently found for superconformal Yang Mills theory, and contrast it with the Kac-Moody loop algebra that can be dened in various integrable models. 1. Yangian Symmetry and Kac-Moody Algebras We describe an innite-dimensional non-abelian symmetry algebra

We study, using ADHM construction, instanton effects in an N = 2 superconformal Sp(N) gauge theory, arising as effective field theory on a system of N D-3-branes near an orientifold 7-plane and 8 D-7-branes in type I ’ string theory. We work out the measure for the collective coordinates of multi

recently. This is N = 1 supersymmetric SU(N) × SU(N) gauge theory coupled to four bifundamental chiral superfields and supplemented by a quartic superpotential which becomes marginal in the infrared. In this paper we consider D3-branes wrapped over the 3-cycles of T 1,1 and identify them with baryon

In this thesis I review various aspects of the AdS4/CFT3 correspondence, where AdS4 supergravity arises from compactification of M–theory on a coset space G/H and preserves N < 8 supersymmetries. One focal point of my review is that the complete spectrum of such N–extended supergravity can