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

2005/06/22 by Jo Bovy, Dieter Lust, Dieter Lüst +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometry and complex manifolds #hep-th

paper · pdf · doi:10.1088/1126-6708/2005/08/056

published as JHEP 0508:056,2005 · 24 pages; v2: reference added

arxiv created 2005/06/22 · openalex publication_date 2005/08/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider backgrounds of (massive) IIA supergravity of the form of a warped product M_1,3×_ω X₆, where X₆ is a six-dimensional compact manifold and M_1,3 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.

Citations

• Supersymmetric AdS(4) compactifications of IIA supergravity
• Non-Kähler string backgrounds and their five torsion classes

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