Script N = 1,2 supersymmetric vacua of IIA supergravity and SU(2) structures
Author(s) -
Jo Bovy,
Dieter Lüst,
Dimitrios Tsimpis
Publication year - 2005
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2005/08/056
Subject(s) - supergravity , minkowski space , physics , supersymmetry , manifold (fluid mechanics) , product (mathematics) , space (punctuation) , omega , mathematical physics , particle physics , pure mathematics , mathematics , quantum mechanics , geometry , philosophy , mechanical engineering , linguistics , engineering
We consider backgrounds of (massive) IIA supergravity of the form of a warpedproduct $M_{1,3}\times_{\omega} X_6$, where $X_6$ is a six-dimensional compactmanifold and $M_{1,3}$ is $AdS_4$ or a four-dimensional Minkowski space. Weanalyse conditions for $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetry onmanifolds of SU(2) structure. We prove the absence of solutions in certaincases.Comment: 24 pages; v2: reference adde
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