  In this paper we discuss an infinite family of new solutions in massive Type
IIA supergravity with AdS$_3\times$S$^2$ factors, preserving ${\cal N}=(0,4)$
SUSY. After studying geometrical aspects of the backgrounds we propose a
duality with a precise family of quivers that flow to (0,4) fixed points at low
energies. These quivers consist on two families of (4,4) linear quivers coupled
by matter fields. We present various tests of our proposal.
