Abstract
A new class of exact supersymmetric solutions is derived within minimal d = 6 F(4) gauged supergravity. These flows are all characterized by a non-trivial radial profile for the 2-form gauge potential included into the supergravity multiplet. In particular three solutions within this class are featured by an AdS3 foliation of the 6d background and by an AdS6 asymptotic geometry. Secondly, considering the simplest example of these, we give its massive IIA uplift describing a warped solution of the type AdS3 × S2 × S3 fibered over two intervals Ir × Iξ. We interpret this background as the near-horizon of a D4-D8 system on which a bound state D2-NS5-D6 ends producing a surface defect. Finally we discuss its holographic dual interpretation in terms of a mathcal{N} = (0, 4) SCFT2 defect theory within the mathcal{N} = 2 SCFT5 dual to the AdS6 × S4 massive IIA warped vacuum.
Highlights
Background withM3 = R1,2 and Σ2 = R2Let’s start with the simplest configuration in which the metric (4.1) is featured by M3 = R1,2 and Σ2 = R2
Considering the simplest example of these, we give its massive IIA uplift describing a warped solution of the type AdS3 × S2 × S3 fibered over two intervals Ir × Iξ. We interpret this background as the near-horizon of a D4-D8 system on which a bound state D2-NS5-D6 ends producing a surface defect
We derive a new class of supersymmetric solutions for the theory (3.3) by solving the BPS equations associated to the SUSY variations (3.8)
Summary
In the previous subsection we reviewed the simple original construction of D4-D8 systems and the associated 5d fixed points. As already explained, these theories realize the exceptional superconformal algebra F (4), whose R-symmetry only includes a single SU(2) factor. It becomes very natural to deform the range of the fiber coordinate θ3 by turning on a non-trivial NUT charge. This procedure yields the brane system depicted, which turns out preserve the same amount of supersymmetry as the one in table 1.
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