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 $\mathrm{Ad}{\mathrm{S}}_3\times S^3\times S^3\times S^1$.

19 pages. v2: minor corrections, reference added