Abstract
We establish a map between AdS3×S2 and AdS7 solutions to massive IIA supergravity that allows one to interpret the former as holographic duals to D2-D4 defects inside 6d (1,0) CFTs. This relation singles out in a particular manner the AdS3×S2 solution constructed from AdS3×S3×CY2 through non-Abelian T-duality, with respect to a freely acting SU(2). We find explicit global completions to this solution and provide well-defined (0,4) 2d dual CFTs associated to them. These completions consist of linear quivers with colour groups coming from D2 and D6 branes and flavour groups coming from D8 and D4 branes. Finally, we discuss the relation with flows interpolating between AdS3×S2×T4 geometries and AdS7 solutions found in the literature.
Highlights
2d defect CFTs breaking half of the supersymmetries of the ambient CFT have been studied in [6,7,8], and their corresponding AdS3 gravity duals have been constructed.1 The ambient CFT is either a 6d (1,0) CFT [6, 7] or a 5d fixed point theory [8].2 In the first case the 2d CFT lives in D2-D4 branes introduced in the D6-NS5-D8 brane intersections that underlie 6d (1,0) CFTs
We will show that a sub-class of the local solutions constructed recently in [11], preserving small N = (0, 4) supersymmetry on a foliation of AdS3×S2×CY2 over an interval, can be used to construct globally compact solutions dual to 2d (0,4) SCFTs that have an interpretation in terms of D2-D4 defects in 6d (1,0) CFTs
We have shown that a subclass of the solutions in [11]7 can be interpreted as arising from D2-D4 defect branes inside the D6-NS5-D8 brane intersections underlying the AdS7 × S2 × I solutions in [36], wrapped on the CY2 of the internal manifold. 6d (1,0) CFTs compactified in CY2 manifolds give rise to 2d (4,4) field theories that are not conformal [54, 55]
Summary
The mapping found in the previous section is formal, in the sense that it relates α, a cubic function in z, to h4 ∼ u, which are linear in ρ (with z and ρ related as in (3.6)). We discuss the non-Abelian T-dual solution in detail, and describe other possible ways to define it globally using AdS3/CFT2 holography. We discuss in detail one of the simplest solutions in the classification of AdS3×S2 geometries in [11], with a focus on the description of its 2d dual CFT, following [35] This solution arises acting with non-Abelian T-duality on the near horizon of the D1-D5 system, and was originally constructed in [37]. We discuss another solution in the class in [11] that arises from the D1-D5 system, and that can be obtained as a limit of the non-Abelian T-dual solution [38, 39, 72]. The orbifold solutions describe the D1-D5-KK system, and are dual to (0,4) CFTs that have been discussed in the literature [18,19,20,21, 25, 32]
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