We consider field theories with sixteen supersymmetries, which includes U(N) Yang-Mills theories in various dimensions, and argue that their large N limit is related to certain supergravity solutions. We study this by considering a system of D-branes in string theory and then taking a limit where the brane worldvolume theory decouples from gravity. At the… (More)
We present a first step towards generalizing the work of Seiberg and Wit-ten on N = 2 supersymmetric Yang-Mills theory to arbitrary gauge groups. Specifically, we propose a particular sequence of hyperelliptic genus n−1 Riemann surfaces to underly the quantum moduli space of SU (n) N = 2 supersymmetric gauge theory. These curves have an obvious… (More)
Using the relation between diffeomorphisms in the bulk and Weyl transformations on the boundary we study the Weyl transformation properties of the bulk metric on shell and of the boundary action. We obtain a universal formula for one of the classes of trace anomalies in any even dimension in terms of the parameters of the gravity action.
Using a proposal of Maldacena we compute in the framework of the supergravity description of N coincident D3 branes the energy of a quark anti-quark pair in the large N limit of U (N) N = 4 SYM in four dimensions at finite temperature.
N = 4 supersymmetric Yang-Mills theory with gauge group SU (N) (N ≥ 3) is believed to have two exactly marginal deformations which break the supersymmetry to N = 1. We discuss the construction of the string theory dual to these deformations, in the supergravity approximation, in a perturbation series around the AdS 5 × S 5 solution. We construct explicitly… (More)
We give a simple proof of the relation Λ∂ Λ F = i 2π b 1 Trφ 2 , which is valid for N = 2 supersymmetric QCD with massless quarks. We consider SU (N c) gauge theories as well as SO(N c) and SP (N c). Aa analogous relation which corresponds to massive hypermultiplets is written down. We also discuss the generalizations to N = 1 models in the Coulomb phase.
We use the M theory approach of Witten to investigate N=1 SU(N c) SQCD with N f flavors. We reproduce the field theoretical results and identify in M theory the gluino condensate and the eigen-values of the meson matrix. This approach allows us to identify the constant piece of the effective field theory coupling from which the coefficient of the one-loop… (More)
We study brane configurations which correspond to field theories in four dimension with N=2 and N=1 supersymmetry. In particular we discuss brane motions that translate to Seiberg's duality in N=1 models recently studied by Elitzur, Giveon and Kutasov. We investigate, using the brane picture, the moduli spaces of the dual theories. Deformations of these… (More)
Using the heterotic–type II duality of N = 2 string vacua in four space-time dimensions we study non-perturbative couplings of toroidally compactified six-dimensional heterotic vacua. In particular, the heterotic– heterotic S-duality and the Coulomb branch of tensor multiplets observed in six dimensions are studied from a four-dimensional point of view. We… (More)
The heterotic E 8 × E 8 string compactified on an orbifold T 4 /Z N has gauge group G × G ′ with (massless) states in its twisted sectors which are charged under both gauge group factors. In the dual M-theory on (T 4 /Z N) ⊗ (S 1 /Z 2) the two group factors are separated in the eleventh direction and the G and G ′ gauge fields are confined to the two… (More)