The N>2 supersymmetric AdS vacua in maximal supergravity

Abstract

We perform a systematic search for anti-de Sitter vacua of maximal supergravity with N>2 residual supersymmetries. We find that maximal supergravity admits two 1-parameter classes of N=3 and N=4 vacua, respectively. They are embedded, for the different values of an angular parameter, in the $\omega$-rotated SO(8) (N=3) and SO(1,7) (N=4 and 3) gauged models. All vacua disappear in the limit when $\omega$ tends to zero. We determine the mass spectra and the AdS-supermultiplet structure. These appear to be the first and only N>2 supersymmetric AdS vacua in maximal supergravity, aside from the N=8 vacua of the SO(8)-gauged models. We also prove on general grounds that no such vacua can exist for 4<N<8.

23 pages, 2 figures, typos corrected as in published version

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• Fractional M2-branes
• The maximal D=4 supergravities
• Charting the landscape of N=4 flux compactifications
• Symplectic Deformations of Gauged Maximal Supergravity
• Black holes in $\omega$-defomed gauged $N=8$ supergravity
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• Kaluza-Klein fermion mass matrices from Exceptional Field Theory and $\mathcal{N}=1$ spectra
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