  We discuss new solutions in massive Type IIA supergravity with
AdS$_3\times$S$^2$ factors, preserving ${\cal N}=(0,4)$ SUSY. We propose a
duality with a precise family of quivers that flow to ${\cal N}=(0,4)$ fixed
points at low energies. These quivers consist on two families of linear quivers
coupled by matter fields. Physical observables such as the central charges
provide stringent checks of the proposed duality. A formal mapping is presented
connecting our backgrounds with those dual to six dimensional ${\cal N}=(1,0)$
CFTs, suggesting the existence of a flow across dimensions between the CFTs.
