Supersymmetry of Black Strings in D=5 Gauged Supergravities

TL;DR

This paper investigates supersymmetric black string solutions in five-dimensional gauged supergravity, revealing supersymmetry enhancement near horizons and conditions for preserving supersymmetry in various compactifications.

Contribution

It provides explicit supersymmetric black string solutions in gauged supergravity and analyzes supersymmetry preservation in product space compactifications.

Findings

Magnetic black strings preserve one quarter of supersymmetry.

Near the horizon, solutions exhibit supersymmetry enhancement.

Only hyperbolic internal spaces preserve some supersymmetry.

Abstract

Supersymmetry of five dimensional string solutions is examined in the context of gauged D=5, N=2 supergravity coupled to abelian vector multiplets. We find magnetic black strings preserving one quarter of supersymmetry and approaching the half-supersymmetric product space AdS_3\times H^2 near the event horizon. The solutions thus exhibit the phenomenon of supersymmetry enhancement near the horizon, like in the cases of ungauged supergravity theories, where the near horizon limit is fully supersymmetric. Finally, product space compactifications are studied in detail, and it is shown that only for negative curvature (hyperbolic) internal spaces, some amount of supersymmetry can be preserved. Among other solutions, we find that the extremal rotating BTZ black hole tensored by H^2 preserves one quarter of supersymmetry.