English

Nearly Kaehler Reduction

High Energy Physics - Theory 2008-11-26 v2 Differential Geometry

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.

Keywords

Cite

@article{arxiv.0709.4482,
  title  = {Nearly Kaehler Reduction},
  author = {Amir-Kian Kashani-Poor},
  journal= {arXiv preprint arXiv:0709.4482},
  year   = {2008}
}

Comments

26 pages; v2: references added

R2 v1 2026-06-21T09:23:10.135Z