1/16-BPS Black Holes and Giant Gravitons in the AdS_5 X S^5 Space

Abstract

We explore 1/16-BPS objects of type IIB string theory in AdS_5 * S^5. First, we consider supersymmetric AdS_5 black holes, which should be 1/16-BPS and have a characteristic that not all physical charges are independent. We point out that the Bekenstein-Hawking entropy of these black holes admits a remarkably simple expression in terms of (dependent) physical charges, which suggests its microscopic origin via certain Cardy or Hardy-Ramanujan formula. We also note that there is an upper bound for the angular momenta given by the electric charges. Second, we construct a class of 1/16-BPS giant graviton solutions in AdS_5 * S^5 and explore their properties. The solutions are given by the intersections of AdS_5 * S^5 and complex 3 dimensional holomorphic hyperspaces in C^{1+5}, the latter being the zero loci of three holomorphic functions which are homogeneous with suitable weights on coordinates. We investigate examples of giant gravitons, including their degenerations to tensionless strings.

25 pages, no figures, v2: references added, comments added in the conclusion

References in corpus (4)

• Supersymmetric multi-charge AdS_5 black holes
• Thermodynamics at the BPS bound for Black Holes in AdS
• From Gravitons to Giants
• Tiny Graviton Matrix Theory/SYM Correspondence: Analysis of BPS States

Cited by in corpus (25)

• Black Holes as Effective Geometries
• Quantum Black Hole Entropy from 4d Supersymmetric Cardy formula
• Comments on 1/16 BPS Quantum States and Classical Configurations
• Microscopic Entropy of Rotating Electrically Charged AdS${}_4$ Black Holes from Field Theory Localization
• Uniqueness of near-horizon geometries of rotating extremal AdS(4) black holes
• Corrections to AdS${}_5$ Black Hole Thermodynamics from Higher-Derivative Supergravity
• Delayed Deconfinement and the Hawking-Page Transition
• Higher-Derivative Corrections and AdS${}_5$ Black Holes
• AdS${}_5$ Black Hole Entropy near the BPS Limit
• Holography of BPS surface operators
• Exact Stringy Microstates from Gauge Theories
• Universal AdS black holes in theories with sixteen supercharges and their microstates
• State-space Manifold and Rotating Black Holes
• Black Hole Giants
• Finite N Index and Angular Momentum Bound from Gravity
• Microscopic Entropy of AdS${}_3$ Black Holes Revisited
• Toward an Effective CFT${}_2$ from $\mathcal{N}=4$ Super Yang-Mills and Aspects of Hawking Radiation
• Electrified BPS Giants: BPS configurations on Giant Gravitons with Static Electric Field
• Supersymmetric Grey Galaxies, Dual Dressed Black Holes and the Superconformal Index
• General Supersymmetric AdS${}_5$ Black Holes with Squashed Boundary
• Black hole superpotential as a unifying entropy function and BPS thermodynamics
• Interior analysis, stretched technique and bubbling geometries
• More on BPS States in N=4 Supersymmetric Yang-Mills Theory on R x S3
• On BPS Strings in $\mathcal{N}=4$ Yang-Mills Theory
• Wrapped M5-branes and AdS${}_5$ Black Holes