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

TL;DR

This paper reviews recent advances in low-dimensional AdS/CFT dualities within massive Type IIA string theory, focusing on new solutions and their dual conformal field theories, including defect interpretations and non-Abelian T-duality embeddings.

Contribution

It introduces new AdS$_3$/CFT$_2$ and AdS$_2$/CFT$_1$ solutions in massive Type IIA, exploring their dual theories and defect structures, and discusses non-Abelian T-duality applications.

Findings

Constructed AdS$_3$ solutions with $ ext{AdS}_3 imes S^2 imes ext{CY}_2 imes I$ geometry.

Developed AdS$_2$ solutions with $ ext{AdS}_2 imes S^3 imes ext{CY}_2 imes I$ geometry.

Analyzed dual 2d CFTs and superconformal quantum mechanics, including defect interpretations.

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.