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1/16-BPS black holes and giant gravitons in the AdS5× S5Space

2006/07/29 by Seok Kim, Ki-Myeong Lee
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Cosmology #Entropy (arrow of time) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Graviton #Holomorphic function #Homogeneous #Invariant (physics) #String theory #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/12/077

published as JHEP0612:077,2006 · 25 pages, no figures, v2: references added, comments added in the conclusion

arxiv created 2006/07/29 · openalex publication_date 2006/12/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We explore 1/16-BPS objects of type IIB string theory in AdS5 * S5. First, we consider supersymmetric AdS5 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 AdS5 * S5 and explore their properties. The solutions are given by the intersections of AdS5 * S5 and complex 3 dimensional holomorphic hyperspaces in C1+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.

Citations