Nearly Kaehler Reduction

Amir-Kian Kashani-Poor

Nearly Kaehler Reduction

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arxiv 0709.4482 v2 pith:PXITIBYX submitted 2007-09-27 hep-th math.DG

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keywords kaehlermanifoldsnearlyreductionsolutionssupergravitytheoryalong

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We consider compactification of type IIA supergravity on nearly Kaehler manifolds. These represent a simple class of SU(3) structure manifolds which includes S^6 and CP^3. We exhibit for the first time an explicit reduction ansatz in this context, obtaining an N=2 gauged supergravity in 4d with a single vector and hypermultiplet. We verify that supersymmetric solutions of the 4d theory lift to 10d solutions. Along the way, we discuss questions related to encountering both electric and magnetic charges in the 4d theory.

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