Kaluza-Klein spectrometry for $\mathrm{Ad}{\mathrm{S}}_3$ vacua

Abstract

We use exceptional field theory to compute Kaluza-Klein mass spectra around $\mathrm{Ad}{\mathrm{S}}_3$ 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 $\mathcal{N}=(2,0)$ and $\mathcal{N}=(1,1)$ six-dimensional supergravities on $\mathrm{Ad}{\mathrm{S}}_3\times S^3$ and of type II supergravity on $\mathrm{Ad}{\mathrm{S}}_3\times S^3\times S^3\times S^1$.

arXiv comment19 pages. v2: minor corrections, reference added

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Cited by in corpus (12)

• $\mathcal{N}=(2,2)$ AdS${}_3$ from D3-branes wrapped on Riemann surfaces
• N=(0,4) Black String Chains
• The spectrum of marginally-deformed $\mathcal{N}=2$ CFTs with AdS${}_4$ S-fold duals of type IIB
• Triality and the consistent reductions on ${\mathrm{AdS}}_3\times S^3$
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• On the Superconformal Index of Chern-Simons theories and their KK Spectrometry
• $\mathcal{N}=1$ S-fold spectroscopy