AdS$_3$ from M-branes at conical singularities

Understand

M-theory is known to possess supersymmetric solutions where the geometry is $\mathrm{AdS}_3\times S^3\times S^3$ warped over a Riemann surface $\Sigma_{2}$.

• The simplest examples in this class can be engineered by placing M2 and M5 branes as defects inside of a stack of background M5 branes.
• In this paper we show that a generalization of this construction yields more general solutions in the aforementioned class.
• The background branes are now M5's carrying M2 brane charge, while the defect branes are now placed at the origin of a flat hyperplane with a conical defect.