Supersymmetric Probes in a Rotating 5D Attractor

TL;DR

This paper investigates supersymmetric brane probes in a specific 5D black hole near-horizon geometry, identifying stable configurations that saturate BPS bounds and exhibit particular momentum and winding properties.

Contribution

It introduces new supersymmetric probe configurations in a rotating 5D attractor background, including stable zero-branes and one-branes with specific momentum and winding characteristics.

Findings

Zero-brane probes stabilized by orbital angular momentum are found.

Supersymmetric one-brane probes with momentum and winding are identified.

Some one-brane probes are static in the given geometry.

Abstract

Supersymmetric zero-brane and one-brane probes in the squashed $AdS_2\times S^3$ near-horizon geometry of the BMPV black hole are studied. Supersymmetric zero-brane probes stabilized by orbital angular momentum on the $S^3$ are found and shown to saturate a BPS bound. We also find supersymmetric one-brane probes which have momentum and winding around a $U(1)_L\times U(1)_R$ torus in the $S^3$ and in some cases are static.