6D microstate geometries from 10D structures

Understand

We use the formalism of Generalised Geometry to characterise in general the supersymmetric backgrounds in type II supergravity that have a null Killing vector.

• We then specify this analysis to configurations that preserve the same supersymmetries as the D1-D5-P system compactified on a four-manifold.
• We give a set of equations on the forms defining the supergravity background that are equivalent to the supersymmetry constraints and the equations of motion.
• This study is motivated by the search of new microstate geometries for the D1-D5-P black hole.