Abstract
We construct new families of AdS2× S2× S2 solutions with 4 supercharges in Type II supergravities. We show that subclasses of these solutions can be interpreted in terms of defect branes embedded in 4d mathcal{N} = 4 SYM, or orbifolds thereof. This is explicitly realised by showing that the solutions asymptote locally to AdS5× S5/ℤn, in Type IIB, or its T-dual background, in Type IIA. The latter is a Gaiotto-Maldacena geometry realised on an intersection of D4 and NS5 branes. We extend the Type IIA solutions to include D6 branes, and interpret them as describing backreacted baryon vertices within 4d mathcal{N} = 2 CFTs living in D4-NS5-D6 intersections. We propose explicit quiver quantum mechanics in which the defect branes play the role of colour branes, with the D4 branes of the D4-NS5-D6 intersection becoming flavour branes. These quivers are used to compute the degeneracies of the ground states of the dual super conformal quantum mechanics, that are shown to agree with the holographic expressions.
Highlights
Structure of the possible geometries and fluxes
We propose an interpretation for the quiver quantum mechanics as describing D4 -D2 baryon vertices within the 4d N = 2 CFT living in the D4-NS5-D6 brane intersection
Our conjecture is that the N = 4 quantum mechanics that lives in the D2-D4 branes flows to a super conformal quantum mechanics in the IR that is dual to the backgrounds defined by the functions (4.19), (4.20)
Summary
We present a new class of AdS2 solutions to Type IIA string theory that arise in the near horizon limit of a brane set-up consisting of F1-D2-D4 -NS5 branes ending on a D4-NS5 bound state. We show that a suitable prescription for the distributions of charges of the D4-NS5 branes produces a noncompact solution within this class that asymptotes locally to a AdS5 vacuum in Type IIA, associated to the D4-NS5 brane intersection. This allows one to resolve the divergences associated to the non-compactness of the internal space within the AdS5 geometry, and to interpret the solution as describing a line defect CFT within the N = 2 4d CFT dual to the aforementioned AdS5 vacuum
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