N=1,2 supersymmetric vacua of IIA supergravity and SU(2) structures

Details N=1,2 supersymmetric vacua of IIA supergravity and SU(2) structures N=1,2 supersymmetric vacua of IIA supergravity and SU(2) structures

2005-06-20

arxiv.org/abs/hep-th/0506160v2

JHEP 0508:056,2005

Physics

High Energy Physics

High Energy Physics - Theory

24 pages; v2: reference added

Scientific paper

10.1088/1126-6708/2005/08/056

We consider backgrounds of (massive) IIA supergravity of the form of a warped product $M_{1,3}\times_{\omega} X_6$, where $X_6$ is a six-dimensional compact manifold and $M_{1,3}$ is $AdS_4$ or a four-dimensional Minkowski space. We analyse conditions for $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetry on manifolds of SU(2) structure. We prove the absence of solutions in certain cases.

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