Supersymmetry of black strings in D=5 gauged supergravities

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 ${\mathrm{AdS}}_{3}\ifmmode\times\else\texttimes\fi{}{\mathrm{H}}^{2}$ near the event horizon. The solutions thus exhibit the phenomenon of supersymmetry enhancement near the horizon, as 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 ${\mathrm{H}}^{2}$ preserves one-quarter of supersymmetry.