Stability of ten-dimensional Kaluza-Klein supergravity

The residual supersymmetry and classical stability are investigated for the Kaluza-Klein solutions CP3, CP2 x S2, S4 x S2, S2 x S2 x S2 of N = 2 ten-dimensional nonchiral supergravity. It is shown that only the CP3 solution possesses a residual (N = 6) supersymmetry. The solutions are then examined for scalar modes violating the Breitenlohner-Freedman stability criterion. It is shown that CP3, CP2 x S2, and S4 x S2 may be stable against such modes