Kaluza-Klein fermion mass matrices from exceptional field theory and N=1 spectra

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 N = 1 and some non-supersymmetric solutions in this class. The complete spectra are shown to enjoy certain generic features.

Automated summary

By using Exceptional Field Theory, the infinite-dimensional mass matrices for the gravitino and spin-1/2 Kaluza-Klein perturbations above specific solutions of M-theory and massive type IIA string theory were determined. The spectra of Kaluza-Klein fermions around solutions with internal symmetry groups containing SU(3) were computed, and the complete spectra around some N=1 and non-supersymmetric solutions in this class were presented, showing certain generic features.