New results in AdS/CFT in low dimensions from massive Type IIA

Abstract

We review recent developments in the study of the AdS/CFT correspondence in low dimensions, focusing on the construction of AdS 3 /CFT 2 and AdS 2 /CFT 1 dual pairs in massive Type IIA string theory. We start discussing the AdS 3 × 𝑆 2 × CY 2 × 𝐼 solutions to massive IIA supergravity with N = ( 0 , 4 ) supersymmetry constructed in [1]. We review the 2d CFTs dual to these solutions, together with their defect interpretation as surface defects within 5d fixed point theories living in D4-D8 bound states. Next, we discuss the AdS 2 × 𝑆 3 × CY 2 × 𝐼 solutions with N = 4 supersymmetry constructed in [2]. We discuss the superconformal quantum mechanics dual to these solutions, that we interpret in terms of line defects realised as D0-D4 baryon vertices in 5d Sp(N) fixed point theories. We review a particular example in this class of solutions, constructed through non-Abelian T-duality with respect to a non-compact isometry group, and discuss the possible embedding of a 3d black hole geometry constructed long ago via non-Abelian T-duality within this solution.