Supersymmetric AdS_3, AdS_2 and Bubble Solutions

TL;DR

This work constructs new supersymmetric $AdS_3$ solutions in type IIB and $AdS_2$ solutions in $D=11$ supergravity, alongside non-compact $AdS_2$ geometries that describe defect CFTs. All solutions are built from a common Kahler metric on leaves satisfying a master condition, with $R>0$ ensuring AdS solutions and $R<0$ yielding bubbles; the framework also yields bubble solutions as analytic continuations. The authors present three explicit construction strategies—fibrations over KE spaces, toric/superstar-inspired geometries, and direct products of KE factors—leading to new $AdS_3$, $AdS_2$, and bubble geometries, including non-compact defect setups and star-like uplifts of superstar solutions. These results illuminate the holographic landscape of 2D SCFTs and defect CFTs, and provide a versatile geometric toolkit for identifying dual field theories and computing central charges in this class of AdS/CFT correspondences.

Abstract

We present new supersymmetric AdS_3 solutions of type IIB supergravity and AdS_2 solutions of D=11 supergravity. The former are dual to conformal field theories in two dimensions with N=(0,2) supersymmetry while the latter are dual to conformal quantum mechanics with two supercharges. Our construction also includes AdS_2 solutions of D=11 supergravity that have non-compact internal spaces which are dual to three-dimensional N=2 superconformal field theories coupled to point-like defects. We also present some new bubble-type solutions, corresponding to BPS states in conformal theories, that preserve four supersymmetries.