1/8 BPS States in Ads/CFT

Abstract

We study a class of exact supersymmetric solutions of type IIB Supergravity. They have an SO(4) x SU(2) x U(1) isometry and preserve generically 4 of the 32 supersymmetries of the theory. Asymptotically AdS_5 x S^5 solutions in this class are dual to 1/8 BPS chiral operators which preserve the same symmetries in the N=4 SYM theory. They are parametrized by a set of four functions that satisfy certain differential equations. We analyze the solutions to these equations in a large radius asymptotic expansion: they carry charges with respect to two U(1) KK gauge fields and their mass saturates the expected BPS bound.

LaTeX, 41 pages. References added, some discussions corrected

References in corpus (8)

• On gravitational description of Wilson lines
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• Kaluza-Klein Holography
• Sasaki-Einstein Metrics on S^2 x S^3
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• A description of 1/4 BPS configurations in minimal type IIB SUGRA
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Cited by in corpus (25)

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• Diagonal multi-matrix correlators and BPS operators in N=4 SYM
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• Nonplanar Integrability
• Small Hairy Black Holes in $Ad{S}_5\times S^5$
• Anatomy of bubbling solutions
• Giant Gravitons - with Strings Attached (II)
• Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
• (Non)-Integrability of Geodesics in D-brane Backgrounds
• AdS Solutions Through Transgression
• Supersymmetric AdS3 X S2 M-theory geometries with fluxes
• Holography of BPS surface operators
• 1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry
• BPS Chaos
• Reconstructing 1/2 BPS Space-Time Metrics from Matrix Models and Spin Chains
• Typicality, Black Hole Microstates and Superconformal Field Theories
• IIB backgrounds with five-form flux
• Null-Wave Giant Gravitons from Thermal Spinning Brane Probes
• Small Black holes vs horizonless solutions in AdS
• Strings on Bubbling Geometries
• Young diagrams, Brauer algebras, and bubbling geometries
• Half BPS states in AdS_5 x Y^{p,q}
• Interior analysis, stretched technique and bubbling geometries
• On the existence of supergravity duals to D1--D5 CFT states