Abstract
We perform a systematic search for anti-de Sitter vacua of maximal supergravity with \( \mathcal{N}>2 \) residual supersymmetries. We find that maximal supergravity admits two 1-parameter classes of \( \mathcal{N}=3 \) and \( \mathcal{N}=4 \) vacua, respectively. They are embedded, for the different values of an angular parameter, in the ω-rotated SO(8) \( \left(\mathcal{N}=3\right) \) and SO(1, 7) (\( \mathcal{N}=4 \) and 3) gauged models. All vacua disappear in the ω → 0 limit. We determine the mass spectra and the AdS-supermultiplet structure. These appear to be the first and only \( \mathcal{N}>2 \) supersymmetric AdS vacua in maximal supergravity, aside from the \( \mathcal{N}=8 \) vacua of the SO(8)-gauged models. We also prove on general grounds that no such vacua can exist for \( 4<\mathcal{N}<8 \).
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ArXiv ePrint: 1410.0711
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Gallerati, A., Samtleben, H. & Trigiante, M. The \( \mathcal{N}>2 \) supersymmetric AdS vacua in maximal supergravity. J. High Energ. Phys. 2014, 174 (2014). https://doi.org/10.1007/JHEP12(2014)174
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DOI: https://doi.org/10.1007/JHEP12(2014)174