Supersymmetric spectroscopy on AdS$_4\times S^7$ and AdS$_4\times S^6$

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Hauptverfasser: Cesaro, Mattia, Larios, Gabriel, Varela, Oscar
Format: Preprint
Veröffentlicht: 2021
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author Cesaro, Mattia
Larios, Gabriel
Varela, Oscar
author_facet Cesaro, Mattia
Larios, Gabriel
Varela, Oscar
contents New techniques based on Exceptional Field Theory have recently allowed for the calculation of the Kaluza-Klein spectra of certain AdS$_4$ solutions of $D=11$ and massive IIA supergravity. These are the solutions that consistently uplift on $S^7$ and $S^6$ from vacua of maximal four-dimensional supergravity with SO(8) and ISO(7) gaugings. In this paper, we provide the complete Kaluza-Klein spectrum of five such AdS$_4$ solutions, all of them ${\cal N}=1$. These solutions preserve SO(3) and $\textrm{U}(1) \times \textrm{U}(1)$ internal symmetry in $D=11$, and U(1) (two of them) and no continuous symmetry in type IIA. Together with previously discussed cases, our results exhaust the Kaluza-Klein spectra of known supersymmetric AdS$_4$ solutions in $D=11$ and type IIA in the relevant class.
format Preprint
id arxiv_https___arxiv_org_abs_2103_13408
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Supersymmetric spectroscopy on AdS$_4\times S^7$ and AdS$_4\times S^6$
Cesaro, Mattia
Larios, Gabriel
Varela, Oscar
High Energy Physics - Theory
New techniques based on Exceptional Field Theory have recently allowed for the calculation of the Kaluza-Klein spectra of certain AdS$_4$ solutions of $D=11$ and massive IIA supergravity. These are the solutions that consistently uplift on $S^7$ and $S^6$ from vacua of maximal four-dimensional supergravity with SO(8) and ISO(7) gaugings. In this paper, we provide the complete Kaluza-Klein spectrum of five such AdS$_4$ solutions, all of them ${\cal N}=1$. These solutions preserve SO(3) and $\textrm{U}(1) \times \textrm{U}(1)$ internal symmetry in $D=11$, and U(1) (two of them) and no continuous symmetry in type IIA. Together with previously discussed cases, our results exhaust the Kaluza-Klein spectra of known supersymmetric AdS$_4$ solutions in $D=11$ and type IIA in the relevant class.
title Supersymmetric spectroscopy on AdS$_4\times S^7$ and AdS$_4\times S^6$
topic High Energy Physics - Theory
url https://arxiv.org/abs/2103.13408