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

Abstract

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 $K3\times R$ topology and preserves 1/4'th supersymmetries of the theory.

12 pages, Latex

References in corpus (2)

• Intersecting Branes
• Wrapping Branes in Space and Time

Cited by in corpus (9)

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• Five dimensional 2-branes and the universal hypermultiplet
• Zero-branes and the symplectic hypermultiplets
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• BPS one-branes in five dimensions