Brane intersections, anti-de Sitter spacetimes and dual superconformal theories

Abstract

We construct a class of intersecting brane solutions with horizon geometries of the form adS_k x S^l x S^m x E^n. We describe how all these solutions are connected through the addition of a wave and/or monopoles. All solutions exhibit supersymmetry enhancement near the horizon. Furthermore we argue that string theory on these spaces is dual to specific superconformal field theories in two dimensions whose symmetry algebra in all cases contains the large N=4 algebra A_{gamma}. Implications for gauged supergravities are also discussed.

arXiv commentLatex, 32 pages; references added and minor additions

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• AdS_3 x S^3 (Un)twisted and Squashed, and an O(2,2;Z) Multiplet of Dyonic Strings
• Euclidean-signature Supergravities, Dualities and Instantons
• Superstrings in AdS(2)xS(2)xT(6)
• Ads(3)/CFT(2) to Ads(2)/CFT(1)
• Exact Half-BPS Flux Solutions in M-theory II: Global solutions asymptotic to AdS_7 x S^4
• Half-BPS supergravity solutions and superalgebras
• M-theory Superstrata and the MSW String
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• AdS${}_{\text{2}}$ solutions and their massive IIA origin
• On the Breaking of Conformal Symmetry in the AdS/CFT Correspondence
• Holographic Kondo Model in Various Dimensions
• Exact Half-BPS Flux Solutions in M-theory III: Existence and rigidity of global solutions asymptotic to AdS4 x S7
• Anti-de Sitter space, branes, singletons, superconformal field theories and all that
• The S-matrix algebra of the AdS2 X S2 superstring
• The statistical mechanics of near-BPS black holes
• Rotating Rotated Branes
• Flowing from $Ad{S}_5$ to $Ad{S}_3$ with $T^{1,1}$
• Composite p-branes on Product of Einstein Spaces
• A Note on Holographic Renormalization of Probe D-Branes
• Massless $Ad{S}_2$ scattering and Bethe ansatz
• Universality of Holographic Phase Transitions and Holographic Quantum Liquids
• Spectrum of Chiral Operators in Strongly Coupled Gauge Theories