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.

46 pages, 25 tables; v2, minor typos corrected

References in corpus (22)

• Generalized Geometry and M theory
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Generalized non-supersymmetric flux vacua
• Supersymmetric E${}_{7(7)}$ Exceptional Field Theory
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• Type IIB supergravity on squashed Sasaki-Einstein manifolds
• Wrapped M5-branes, consistent truncations and AdS/CMT
• Spin-2 spectrum of defect theories
• Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
• Symplectic Deformations of Gauged Maximal Supergravity
• Kaluza-Klein Spectrometry for Supergravity
• Kaluza-Klein Spectrometry from Exceptional Field Theory
• All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua
• The Geometry, Branes and Applications of Exceptional Field Theory
• Nearly Kaehler Reduction
• Classes of AdS4 type IIA/IIB compactifications with SU(3)xSU(3) structure
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• Tachyonic Kaluza-Klein modes and the AdS swampland conjecture
• Universal properties of Kaluza-Klein gravitons
• A Cubic Deformation of ABJM: The Squashed, Stretched, Warped, and Perturbed Gets Invaded

Cited by in corpus (12)

• 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