Adding momentum to supersymmetric geometries, Nucl.Phys. B868

We consider general supersymmetric solutions to minimal supergravity in six dimensions, trivially lifted to IIB supergravity. To any such solution we add a travelling-wave defor-mation involving the additional directions. The deformed solution is given in terms of a function which is harmonic in the background geometry. We also present a family of ex-plicit examples describing microstates of the D1-D5 system on T 4. In the case where the background contains a large AdS region, the deformation is identified as corresponding to an action of a U(1) current of the D1-D5 orbifold CFT on a given state. ar X i