$\mathcal{N}=(8,0)$ AdS vacua of three-dimensional supergravity

Abstract

We give a classification of fully supersymmetric chiral $\mathcal{N}=(8,0)$ AdS${}_3$ vacua in general three-dimensional half-maximal gauged supergravities coupled to matter. These theories exhibit a wealth of supersymmetric vacua with background isometries given by the supergroups OSp$(8|2,\mathbb{R})$, F(4), SU$(4|1,1)$, and OSp$(4^{\ast }|4)$, respectively. We identify the associated embedding tensors and the structure of the associated gauge groups. We furthermore compute the mass spectra around these vacua. As an off-spin we include results for a number of $\mathcal{N}=(7,0)$ vacua with supergroups OSp$(7|2,\mathbb{R})$ and G$(3)$, respectively. We also comment on their possible higher-dimensional uplifts.

47 pages, v2: version published in JHEP