On Classification Of The Bubbling Geometries
arXiv:hep-th/0602270 · doi:10.1088/1126-6708/2006/04/045
Abstract
In this paper we classify the ten dimensional half BPS solutions of the type IIB supergravity which have SO(4) X SO(4) X U(1) isometry found by Lin-Lunin-Maldacena (LLM). Our classification is based on their asymptotic behavior and causal structure according which they fall into two classes: 1) those with R X S^3 boundary and 2) those with one dimensional light-like boundary. Each class can be divided into some subclasses depending on the asymptotic characteristics of the solutions, which in part specify the global charges defining the geometry. We analyze each of these classes in some detail and elaborate on their dual gauge theory description. In particular, we show that the Matrix Chern-Simons theory which is the gauge theory dual to the LLM geometries, can be obtained as the effective theory of spherical threebrane probes in the half BPS sector.
31 pages, 9 .eps figures; v2: References added
Cited by in corpus (5)
- Geometry and topology of bubble solutions from gauge theory
- Correlators Of Operators with a Large R-charge
- Reconstructing 1/2 BPS Space-Time Metrics from Matrix Models and Spin Chains
- Tiny Graviton Matrix Theory/SYM Correspondence: Analysis of BPS States
- BPS R-balls in N=4 SYM on R X S^3, Quantum Hall Analogy and AdS/CFT Holography