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 ${\text{AdS}}_3\times S^2\times {\text{CY}}_2\times I$ solutions to massive IIA supergravity with $\mathcal{N}=(0,4)$ supersymmetry constructed in 1908.09851. 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 ${\text{AdS}}_2\times S^3\times {\text{CY}}_2\times I$ solutions with $\mathcal{N}=4$ supersymmetry constructed in 2011.13932. 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.

Contribution to the CORFU2021 proceedings. 29 pages, 7 figures