Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$

Abstract

New techniques based on Exceptional Field Theory have recently allowed for the calculation of the Kaluza-Klein spectra of certain AdS${}_4$ solutions of $D=11$ and massive IIA supergravity. These are the solutions that consistently uplift on $S^7$ and $S^6$ from vacua of maximal four-dimensional supergravity with SO(8) and ISO(7) gaugings. In this paper, we provide the complete Kaluza-Klein spectrum of five such AdS${}_4$ solutions, all of them $\mathcal{N}=1$. These solutions preserve SO(3) and $\text{U}(1)\times \text{U}(1)$ internal symmetry in $D=11$, and U(1) (two of them) and no continuous symmetry in type IIA. Together with previously discussed cases, our results exhaust the Kaluza-Klein spectra of known supersymmetric AdS${}_4$ solutions in $D=11$ and type IIA in the relevant class.

v2: Tables of spectra suppressed, and spectral data now presented in ancillary Mathematica files

References in corpus (14)

• Generalized Geometry and M theory
• The maximal D=4 supergravities
• Supersymmetric E${}_{7(7)}$ Exceptional Field Theory
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• Spin-2 spectrum of defect theories
• All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua
• Stable non-supersymmetric Anti-de Sitter vacua of massive IIA supergravity
• Tachyonic Kaluza-Klein modes and the AdS swampland conjecture
• A new N=1 AdS4 Vacuum of Maximal Supergravity
• On the spin-2 Kaluza-Klein spectrum of AdS4 x S2(B4)
• An SO(3)$\times$SO(3) invariant solution of $D=11$ supergravity
• Kaluza-Klein spectrometry for $\mathrm{Ad}{\mathrm{S}}_3$ vacua
• Kaluza-Klein fermion mass matrices from Exceptional Field Theory and $\mathcal{N}=1$ spectra
• Kaluza-Klein Spectroscopy for the Leigh-Strassler SCFT

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• Kaluza-Klein Spectrometry beyond Consistent Truncations: The Squashed $S^7$
• Consistent truncations in higher derivative supergravity
• On generalised D1-D5 near horizons and their spectra
• On the squashed seven-sphere operator spectrum
• Charting the Conformal Manifold of Holographic CFT${}_2$'s
• Holographic 3d $\mathcal{N}=1$ Conformal Manifolds
• On the Superconformal Index of Chern-Simons theories and their KK Spectrometry
• $\mathcal{N}=1$ S-fold spectroscopy