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

TL;DR

This paper analyzes the supersymmetric AdS_5 black hole's near-horizon geometry, revealing its supersymmetry, isometry supergroup, and half-BPS D3-brane configurations, including giant gravitons.

Contribution

It explicitly solves Killing spinor equations, determines the isometry supergroup, and identifies half-BPS giant and dual giant graviton probes in the near-horizon geometry.

Findings

Four supersymmetries preserved, twice that of the full black hole

Isometry supergroup is SU(1,1|1) x SU(2) x U(3)

Identifies half-BPS giant and dual giant graviton configurations

Abstract

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.