A note on a relation between the Killing spinor and Einstein equations

@inproceedings{Kaya1999ANO,
  title={A note on a relation between the Killing spinor and Einstein equations},
  author={Ayse G{\"u}lden Aday Kaya},
  year={1999}
}
It is shown that, under certain conditions, the existence of a Killing spinor on a bosonic background of a supergravity theory implies that the Einstein equations are also satisfied. As an application of the theorem, we obtain a new black fivebrane solution of D=11 supergravity, which has K3 × R topology and preserves 1/4’th supersymmetries of the theory. partially supported by Scientific and Technical Research Council of Turkey (Tübitak) also at Department of Physics, Bog̃azici University… CONTINUE READING

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