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

TL;DR

This paper investigates 1/16-BPS black holes and giant gravitons in AdS_5 x S^5, revealing their entropy structure, charge relations, and constructing explicit supersymmetric solutions with complex geometric methods.

Contribution

It provides a detailed analysis of 1/16-BPS black holes and constructs new giant graviton solutions using complex hyperspace intersections.

Findings

Bekenstein-Hawking entropy expressed in terms of dependent charges

Existence of an upper bound for angular momenta related to electric charges

Explicit construction of giant graviton solutions via holomorphic hypersurfaces

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.