Elliptic models and M-theory

We give a unified analysis of four-dimensional elliptic models with N=2 supersymmetry and a simple gauge group, and their relation to M-theory. Explicit calculations of the Seiberg-Witten curves and the resulting one-instanton prepotential are presented. The remarkable regularities that emerge are emphasized. In addition, we calculate the prepotential in the Coulomb phase of the (asymptotically-free) Sp(2N) gauge theory with N_f fundamental hypermultiplets of arbitrary mass.Comment: 52 pages, latex, one eps figure, uses psfig.tex; revised version: typos corrected and references adde

Two antisymmetric hypermultiplets in N=2 SU(N) gauge theory: Seiberg-Witten curve and M-theory interpretation

The one-instanton contribution to the prepotential for N=2 supersymmetric gauge theories with classical groups exhibits a universality of form. We extrapolate the observed regularity to SU(N) gauge theory with two antisymmetric hypermultiplets and N_f \leq 3 hypermultiplets in the defining representation. Using methods developed for the instanton expansion of non-hyperelliptic curves, we construct an effective quartic Seiberg-Witten curve that generates this one-instanton prepotential. We then interpret this curve in terms of an M-theoretic picture involving NS 5-branes, D4-branes, D6-branes, and orientifold sixplanes, and show that for consistency, an infinite chain of 5-branes and orientifold sixplanes is required, corresponding to a curve of infinite order.Comment: 30 pages; 3 figures; LaTeX; minor typos correcte

Elliptic Models, Type IIB Orientifolds and the Ads/CFT Correspondence

We analyze the large N supergravity descriptions of the class of type IIB models T-dual to elliptic type IIA brane configurations containing two orientifold 6-planes and up to two NS 5-branes. The T-dual IIB configurations contain N D3-branes in the background of an orientifold 7-plane and, in some models, a Z_2 orbifold and/or D7-branes, which give rise to four-dimensional N=2 (or N=4) gauge theories with at most two factors. We identify the chiral primary states of the supergravity theories, and match them to gauge invariant operators of the corresponding superconformal theories using Maldacena's duality.Comment: 44 pages (typo corrected

One-instanton predictions of Seiberg-Witten curves for product groups

One-instanton predictions for the prepotential are obtained from the Seiberg-Witten curve for the Coulomb branch of script N sign = 2 supersymmetric gauge theory for the product group IIn=1m SU(Nn) with a massless matter hypermultiplet in the bifundamental representation (Nn,N̄n+1) of SU(Nn) × SU(Nn+1) for n = 1 to m - 1, together with N0 and Nm+1 matter hypermultiplets in the fundamental representations of SU(N1) and SU(Nm) respectively. The derivation uses a generalization of the systematic perturbation expansion about a hyperelliptic curve developed by us in earlier work. © 1999 Published by Elsevier Science B.V. All rights reserved

One-instanton predictions of a seiberg-witten curve from M theory: The symmetric representation of SU(N)

We consider N = 2 supersymmetric Yang-Mills theories in four dimensions with gauge group SU(N) for N larger than 2. Using the cubic curve for a matter hypermultiplet transforming in the symmetric representation, obtained from M theory by Landsteiner and Lopez, we calculate the prepotential up to the one-instanton correction. We treat the curve as being approximately hyperelliptic and perform a perturbation expansion for the Seiberg-Witten differential to get the one-instanton contribution. We find that it reproduces the correct result for one loop, and we obtain the prediction for that curve for the one-instanton correction term