Nearly Kaehler Reduction

Abstract

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.

26 pages; v2: references added

References in corpus (2)

• Effective actions and N=1 vacuum conditions from SU(3) x SU(3) compactifications
• On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds

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• On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds
• New string vacua from twistor spaces
• A second look at N=1 supersymmetric AdS_4 vacua of type IIA supergravity
• Dimensional Reduction of the Heterotic String over nearly-Kaehler manifolds
• No-scale supersymmetry breaking vacua and soft terms with torsion
• Flux Vacua Attractors and Generalized Compactifications