A supersymmetric reduction on the three-sphere

We present the embedding of three-dimensional SO(4)$⋉{\mathbb{R}}^6$ gauged $N=4$ supergravity with quaternionic target space SO(4,4)$\mathrm{/}$(SO(4)$\times$SO(4)) into $D=6$, $N=(1,0)$ supergravity coupled to a single chiral tensor multiplet through a consistent reduction on AdS$_3\times S^3$.