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Supersymmetric Kaluza-Klein reductions of M-waves and MKK-monopoles

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arxiv hep-th/0208108 v3 pith:N4WQEF6O submitted 2002-08-15 hep-th math.DG

Supersymmetric Kaluza-Klein reductions of M-waves and MKK-monopoles

classification hep-th math.DG
keywords kaluza-kleinreductionsconfigurationssomesupersymmetricd6-branesfluxkilling
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the Kaluza-Klein reductions to ten dimensions of the purely gravitational half-BPS M-theory backgrounds: the M-wave and the Kaluza-Klein monopole. We determine the moduli space of smooth (supersymmetric) Kaluza-Klein reductions by classifying the freely-acting spacelike Killing vectors which preserve some Killing spinor. As a consequence we find a wealth of new supersymmetric IIA configurations involving composite and/or bound-state configurations of waves, D0 and D6-branes, Kaluza-Klein monopoles in type IIA and flux/nullbranes, and some other new configurations. Some new features raised by the geometry of the Taub-NUT space are discussed, namely the existence of reductions with no continuous moduli. We also propose an interpretation of the flux 5-brane in terms of the local description (close to the branes) of a bound state of D6-branes and ten-dimensional Kaluza-Klein monopoles.

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