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

الأصل · EN

We consider backgrounds of (massive) IIA supergravity of the form of a warped product M₁,₃×ω X₆, where X₆ is a six-dimensional compact manifold and M₁,₃ is AdS₄ or a four-dimensional Minkowski space. We analyse conditions for N=1 and N=2 supersymmetry on manifolds of SU(2) structure. We prove the absence of solutions in certain cases.