| Summary: | Abstract We construct a new class of AdS3 × S3 × M4 solutions of massive Type IIA supergravity with (0, 4) supersymmetries and SU(3) structure. We study in detail two subclasses of these solutions. The first subclass is when M4 = S2 × Σ2, with Σ2 a 2d Riemann surface, and the geometry is foliated over the Σ2. We interpret these solutions as duals to surface defect CFTs within the 6d (1, 0) CFTs dual to the AdS7 × S2 × I solutions of massive IIA supergravity. The second subclass is when M4 = 𝕋3 × I and the geometry is foliated over the interval. In this case supersymmetry is enhanced to (4, 4) in the massless limit, and the solutions are the sought-for holographic duals of (4, 4) CFTs living in two dimensional D2-NS5-D4 Hanany-Witten brane set-ups. In turn, in the massive case the solutions find an interpretation as D2-D4 branes embedded in Type I’ string theory. We construct explicit quiver gauge theories from the different brane set-ups that flow in the IR to the 2d dual CFTs dual to the solutions. We check the validity of our proposals with the matching between the field theory and holographic central charges.
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