Nearly Kähler reduction

Published 9 November 2007 Published under licence by IOP Publishing Ltd
, , Citation Amir-Kian Kashani-Poor JHEP11(2007)026 DOI 10.1088/1126-6708/2007/11/026

1126-6708/2007/11/026

Abstract

We consider compactification of type IIA supergravity on nearly Kähler manifolds. These represent a simple class of SU(3) structure manifolds which includes S6 and Bbb CBbb P3. We exhibit for the first time an explicit reduction ansatz in this context, obtaining an Script 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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10.1088/1126-6708/2007/11/026