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

Abstract

Abstract We give a classification of fully supersymmetric chiral $$ \mathcal{N} $$ N = (8, 0) AdS3 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, ℝ), F(4), SU(4|1, 1), and OSp(4 ∗ |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 $$ \mathcal{N} $$ N = (7, 0) vacua with supergroups OSp(7|2, ℝ) and G(3), respectively. We also comment on their possible higher-dimensional uplifts.