Gravity duals of N = (0,2) SCFTs from M5-branes

We describe the general BPS system that governs the gravity duals of N = (0, 2) two-dimensional superconformal field theories in the low-energy limit of M5-branes on a four-manifold, M 4. In order to preserve supersymmetry, we restrict to cases where the four-manifold is embedded in a Calabi-Yau fourfold that is a sum of two line bundles over M 4. We further reduce the N = (0, 2) system to describe the gravity duals of SCFTs with N = (0, 4) and N = (2, 2) supersymmetry. In the first case, the solutions fit in the larger class of AdS(3)xS(2)xCY(3) solutions of M-theory dual to N = (0, 4) SCFTs. In the case of the N = (2, 2) theories, the near-horizon limit of M-4 is necessarily a product of two constant curvature Riemann surfaces whose metrics are governed by a pair of Liouville equations.