New AdS3/CFT2 pairs in massive IIA with (0, 4) and (4, 4) supersymmetries

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.

Line defects as brane boxes in Gaiotto-Maldacena geometries

“…The presence of the extra fluxes forbids as well for any supersymmetry enhancement to the 4d N = 2 supersymmetry of the AdS 5 solution. Note that as in the examples discussed in [19,20,25] the R-symmetry of the 4d N = 2 AdS 5 solution is realised on the internal space, in this case on the S2 × S 1 φ subspace, while the R-symmetry of the AdS 2 solution becomes part of the superconformal group of the higher dimensional theory.…”

“…realisations it has been possible to embed the defect CFT within the higher dimensional theory through explicit quiver-like constructions [1,19,20,25]. In this work we will provide one further example of AdS 2 background with a line defect interpretation, and we will construct an explicit one dimensional quiver describing the line defect CFT.…”

“…Holographically the associated divergence of the central charge (or free energy) is absorbed when the non-compact coordinate becomes part of the higher dimensional AdS space. This approach to the study of defects has been very fruitful, with substantial amount of work being devoted to identifying low dimensional AdS solutions dual to defect CFTs in recent years [1,[7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. Interestingly, in some of these…”

On generalised D1-D5 near horizons and their spectra

“…In recent years there has been some renewed effort to construct small N = (4, 0) solutions in type II supergravities [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32], of particular interest to us here is the SU(2)structure classification of [21]: the main focus of this work was to construct local solutions in massive IIA on AdS 3 ×S 2 ×CY 2 , that were later used to construct holographic duals to N = (4, 0) linear quivers [22][23][24]. However [21] also found a pronounced generalization of the D1-D5 near horizon: this is a warped AdS 3 ×M 7 class with S 3 → M 7 → CY 2 and solutions in one-to-one correspondence with the solutions of a generalised Laplace equation on CY 2 -it preserves small N = (4, 0).…”

“…For resent related work on consistent truncations to d = 5, 6 gauged and un-gagued supergravities see[32,52].…”