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

2020/12/30 by Mattia Cesàro, Mattia Cesaro, Oscar Varela
Physics and Astronomy · #Black Holes and Theoretical Physics #Fermion #Gravitino #Mass spectrum #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Spectral line #Spectrum (functional analysis) #String (physics) #String theory #Symmetry (geometry) #hep-th

paper · pdf · doi:10.1007/jhep03(2021)138

46 pages, 25 tables; v2, minor typos corrected

openalex created_date 2020/12/21 · arxiv created 2020/12/30 · openalex publication_date 2021/03/01 · arxiv updated 2021/03/31 · openalex updated_date 2026/08/05

Abstract

A bstract 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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 and some non-supersymmetric solutions in this class. The complete spectra are shown to enjoy certain generic features.

Citations