At the horizon of a supersymmetric AdS_5 black hole: Isometries and half-BPS giants

Details At the horizon of a supersymmetric AdS_5 black hole: Isometries and half-BPS giants At the horizon of a supersymmetric AdS_5 black hole: Isometries and half-BPS giants

2006-10-01

arxiv.org/abs/hep-th/0610002v2

JHEP 0701:087,2007

Physics

High Energy Physics

High Energy Physics - Theory

26 pages. v2:Typos corrected, minor changes

Scientific paper

10.1088/1126-6708/2007/01/087

The near-horizon geometry of an asymptotically AdS_5 supersymmetric black hole discovered by Gutowski and Reall is analysed. After lifting the solution to 10 dimensions, we explicitly solve the Killing spinor equations in both Poincare and global coordinates. It is found that exactly four supersymmetries are preserved which is twice the number for the full black hole. The full set of isometries is constructed and the isometry supergroup is shown to be SU(1,1|1) X SU(2) X U(3). We further study half-BPS configurations of D3-branes in the near-horizon geometry in Poincare and global coordinates. Both giant graviton probes and dual giant graviton probes are found.

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