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arXiv · 2212.01135

Kaluza-Klein Spectrometry beyond Consistent Truncations: The Squashed $S^7$

Bastien Duboeuf·Emanuel Malek·Henning Samtleben
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Abstract

We show how to use Exceptional Field Theory to compute the full Kaluza-Klein spectra of 10- and 11-dimensional supergravity around deformations of backgrounds of maximal gauged supergravity by scalar modes that do not form part of the consistent truncation. This includes deformations of AdS$_4 \times S^7$ and AdS$_5 \times S^5$ by modes that are not part of the ${\cal N}=8$ supermultiplet. As an application, we compute the full Kaluza-Klein spectrum of the ${\cal N}=1$ and ${\cal N}=0$ squashed $S^7$. In this example, all conformal dimensions are captured by a universal formula in terms of the Casimir operators and additional quantum numbers which organise the spectrum.

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Bastien Duboeuf, Emanuel Malek, Henning Samtleben. 2022-12-02. Kaluza-Klein Spectrometry beyond Consistent Truncations: The Squashed $S^7$. https://doi.org/10.1007/jhep04(2023)062

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