New supersymmetric AdS_3 solutions

TL;DR

This work constructs infinite families of supersymmetric AdS_3 solutions in D=11 supergravity, with M_8 as an S^2 bundle over KE-based bases, admitting non-vanishing G_4 flux and yielding AdS_3/CFT_2 duals with N=(0,2) supersymmetry. Supersymmetry and flux constraints collapse to a single second-order differential equation for H(r), enabling explicit, regular compact solutions when the base is built from KE_6, KE_4×KE_2, or KE_2×KE_2×KE_2. The authors also derive Type IIB duals via T-duality on torus directions, compute central charges for the dual 2D CFTs, and discuss non-compact solutions corresponding to defect CFTs in higher-dimensional theories. A unifying polynomial-solution framework reveals rich structures and broad generalizations, including new IIB AdS_3 backgrounds and potential defect-related dual theories.

Abstract

We construct infinite new classes of supersymmetric solutions of D=11 supergravity that are warped products of AdS_3 with an eight-dimensional manifold M_8 and have non-vanishing four-form flux. In order to be compact, M_8 is constructed as an S^2 bundle over a six-dimensional manifold B_6 which is either Kähler-Einstein or a product of Kähler-Einstein spaces. In the special cases that B_6 contains a two-torus, we also obtain new AdS_3 solutions of type IIB supergravity, with constant dilaton and only five-form flux. Via the AdS-CFT correspondence the solutions with compact M_8 will be dual to two-dimensional conformal field theories with N=(0,2) supersymmetry. Our construction can also describe non-compact geometries and we briefly discuss examples in type IIB which are dual to four-dimensional N=1 superconformal theories coupled to string-like defects.