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

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arxiv 2012.05249 v2 pith:P4DVXBJV submitted 2020-12-09 hep-th

Mattia Cesaro , Oscar Varela This is my paper · ORCID
classification hep-th
keywords classkaluza-kleinmassmatricessolutionssomespectratheory
verification ladder T0 review T1 audit T2 compute T3 formal

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

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Cited by 5 Pith papers

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