AdS(3) from M-branes at conical singularities

M-theory is known to possess supersymmetric solutions where the geometry is AdS(3) x S-3 x 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. The equations of motion imply a relation between the deficit angle produced by the conical defect and the M2 charge carried by the background branes.

Automated summary

This study demonstrates a construction method for supersymmetric solutions in M-theory, which produces more general solutions by placing background branes and defect branes at different positions and with different properties in space, with implications for the relationships between deficit angle and M2 charge.