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Kaluza-Klein spectrometry for ${\rm AdS_{3}}$ vacua
by Camille Eloy
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Camille Eloy |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2011.11658v2 (pdf) |
| Date accepted: | 2021-05-26 |
| Date submitted: | 2021-05-24 14:48 |
| Submitted by: | Eloy, Camille |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We use exceptional field theory to compute Kaluza-Klein mass spectra around ${\rm AdS_{3}}$ vacua that sit in half-maximal gauged supergravity in three dimensions. The formalism applies to any vacuum that arises from a consistent truncation of higher-dimensional supergravity, no matter what symmetries are preserved. We illustrate its efficiency by computing the spectra of ${\cal N}=(2,0)$ and ${\cal N}=(1,1)$ six-dimensional supergravities on ${\rm AdS_{3}}\times S^{3}$ and of type II supergravity on ${\rm AdS_{3}}\times S^{3}\times S^{3}\times S^{1}$.
Author comments upon resubmission
List of changes
1) This is a very good point. Indeed, I considered fluctuations for ${\cal B}_{\mu\,MN}$ that depend on the ones of ${\cal A}_{\mu}{}^{MN}$ to ensure the consistency of the linearized equations of motion. The discussion has been modified after Eq. (3.3).
2) The techniques do indeed apply to topologically coset spaces, I thank the referee for pointing this out. However, the new technique derived in the paper applies to both manifolds with small or large isometry groups, while the standard harmonic analysis is suited for backgrounds with large isometry groups only. The discussion has been clarified in the introduction.
3) I clarified before Eq. (3.4) that Gmax is compact and has a transitive action on the coset space.
Typos have also been corrected in Eq. (2.16), (3.16), (3.17), (3.24) and (3.25), and Ref. [33] has been added in footnote 12.
Published as SciPost Phys. 10, 131 (2021)