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

Abstract

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.

44 pages (typo corrected)

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• N=2 Conformal SYM theories at large N
• BPS Wilson loops in generic conformal N=2 SU(N) SYM theories
• Exact results in a N=2 superconformal gauge theory at strong coupling
• $1/N$ expansion of circular Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver
• $\mathcal{N}=2$ conformal gauge theories at large R-charge: the $SU(N)$ case
• The Next-to-Simplest Quantum Field Theories
• The AdS Veneziano amplitude at small curvature
• Three-point functions in a $\mathcal{N}=2$ superconformal gauge theory and their strong-coupling limit
• Exact strong coupling results in $\mathcal{N}$=2 $Sp(2N)$ superconformal gauge theory from localization
• Non-planar corrections in orbifold/orientifold $\mathcal{N}=2$ superconformal theories from localization
• Vacuum states of N=1* mass deformations of N=4 and N=2 conformal gauge theories and their brane interpretations
• 1/N corrections to anomalies and the AdS/CFT correspondence for orientifolded N=2 orbifold and N=1 conifold models
• Defect correlators in a $\mathcal{N}=2$ SCFT at strong coupling
• pp-wave limits and orientifolds
• Twistor Strings with Flavour
• Expanding on the Cardy-like limit of the superconformal index of 4d $\mathcal{N}=1$ ABCD SCFTs
• Dimers in a Bottle
• Fractional D3-branes in diverse backgrounds
• BPS Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)$ "orientifold" gauge theory and weak-strong coupling interpolation
• Wilson loops as defects in N=2 conformal field theories
• Strong-coupling results for $\mathcal{N}=2$ superconformal quivers and holography
• Strong coupling expansion of free energy and BPS Wilson loop in $\mathcal{N}=2$ superconformal models with fundamental hypermultiplets