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

## TL;DR

This paper classifies all fully supersymmetric ${
m AdS}_3$ vacua with ${
m N}=(8,0)$ supersymmetry in three-dimensional supergravity, detailing their gauge groups, embedding tensors, and mass spectra, and also discusses related vacua with ${
m N}=(7,0)$ supersymmetry.

## Contribution

It provides a comprehensive classification of ${
m N}=(8,0)$ supersymmetric AdS$_3$ vacua, including gauge group structures and spectra, which was not previously detailed in the literature.

## Key findings

- Identified supergroups associated with vacua: OSp(8|2,R), F(4), SU(4|1,1), OSp(4*|4)
- Determined embedding tensors and gauge group structures for these vacua
- Computed mass spectra around the classified vacua

## Abstract

We give a classification of fully supersymmetric chiral ${\cal N}=(8,0)$ 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$(4^*|4)$, 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 ${\cal N}=(7,0)$ vacua with supergroups OSp$(7|2,\mathbb{R})$ and G$(3)$, respectively. We also comment on their possible higher-dimensional uplifts.