Nearly Kaehler Reduction

Understand

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.