AdS$_3$ solutions in massive IIA, defect CFTs and T-duality

TL;DR

This paper establishes a holographic duality map connecting AdS3 solutions in massive IIA supergravity to 6d (1,0) CFTs with defect structures, providing explicit global solutions and dual 2d CFTs.

Contribution

It introduces a new correspondence between AdS3 and AdS7 solutions, enabling interpretation of AdS3 as defect CFTs within 6d theories, and constructs explicit dual 2d CFTs.

Findings

Mapped AdS3 solutions to AdS7 solutions in massive IIA.

Constructed explicit global completions and dual 2d CFTs.

Analyzed flows between AdS3 and AdS7 geometries.

Abstract

We establish a map between AdS$_3 \times$S$^2$ and AdS$_7$ 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 AdS$_3\times$S$^2$ solution constructed from AdS$_3\times$S$^3\times $CY$_2$ 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 AdS$_3\times$S$^2\times$T$^4$ geometries and AdS$_7$ solutions found in the literature.