Super-Chern-Simons spectra from Exceptional Field Theory

Abstract

Exceptional Field Theory has been recently shown to be very powerful to compute Kaluza-Klein spectra. Using these techniques, the mass matrix of Kaluza-Klein vector perturbations about a specific class of AdS${}_4$ solutions of $D=11$ and massive type IIA supergravity is determined. These results are then employed to characterise the complete supersymmetric spectrum about some notable $\mathcal{N}=2$ and $\mathcal{N}=3$ AdS${}_4$ solutions in this class, which are dual to specific three-dimensional superconformal Chern-Simons field theories.

arXiv comment42 pages, 37 tables; v3: Minor typos corrected, version to be published in JHEP

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Cited by in corpus (10)

• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• Kaluza-Klein spectrometry for $\mathrm{Ad}{\mathrm{S}}_3$ vacua
• The spectrum of marginally-deformed $\mathcal{N}=2$ CFTs with AdS${}_4$ S-fold duals of type IIB
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• Kaluza-Klein Spectrometry beyond Consistent Truncations: The Squashed $S^7$
• Consistent truncations in higher derivative supergravity
• Marginal deformations from type IIA supergravity
• Charting the Conformal Manifold of Holographic CFT${}_2$'s
• On the Superconformal Index of Chern-Simons theories and their KK Spectrometry
• $\mathcal{N}=1$ S-fold spectroscopy