Kaluza-Klein fermion mass matrices from Exceptional Field Theory and $\mathcal{N}=1$ spectra

Abstract

Using Exceptional Field Theory, we determine the infinite-dimensional mass matrices for the gravitino and spin-$1/2$ Kaluza-Klein perturbations above a class of anti-de Sitter solutions of M-theory and massive type IIA string theory with topologically-spherical internal spaces. We then use these mass matrices to compute the spectrum of Kaluza-Klein fermions about some solutions in this class with internal symmetry groups containing SU(3). Combining these results with previously known bosonic sectors of the spectra, we give the complete spectrum about some $\mathcal{N}=1$ and some non-supersymmetric solutions in this class. The complete spectra are shown to enjoy certain generic features.

arXiv comment46 pages, 25 tables; v2, minor typos corrected

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• Global Properties of the Conformal Manifold for S-Fold Backgrounds
• Flat deformations of type IIB S-folds
• The spectrum of marginally-deformed $\mathcal{N}=2$ CFTs with AdS${}_4$ S-fold duals of type IIB
• Kaluza-Klein Spectroscopy for the Leigh-Strassler SCFT
• Triality and the consistent reductions on ${\mathrm{AdS}}_3\times S^3$
• 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
• 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