Super-Giants in Gutowski-Reall Black Hole

TL;DR

This paper classifies supersymmetric D3-brane configurations in a specific black hole background, extending known solutions in $AdS_5 imes S^5$ to a more general setting in type IIB supergravity.

Contribution

It provides a complete characterization of bosonic giant and dual-giant D3-brane configurations in the Gutowski-Reall black hole without breaking supersymmetry.

Findings

D3-brane world-volumes are zeros of three holomorphic functions.

Configurations include electromagnetic fields characterized by closed 2-forms.

Solutions generalize known $AdS_5 imes S^5$ branes, approaching them far from the horizon.

Abstract

We present all bosonic giant and dual-giant type configurations of a probe D3-brane in the BPS single-parameter Gutowski-Reall black hole in 10d type IIB supergravity that do not break any of its supersymmetries. The resulting D3-brane world-volumes can be given by the common zeros of three holomorphic functions of five complex scalar harmonics of the geometry. These probe branes support world-volume electromagnetic fields which we characterise completely in terms of pull-backs of closed 2-forms. Our configurations can be seen as natural generalisations of known supersymmetric D3-branes in $AdS_5 \times S^5$ and approach them far away from the black hole horizon.