A note on supersymmetric type II solutions of Lifshitz type

Abstract

We discuss a class of supersymmetric type II non-relativistic solutions with exact or asymptotic scale invariance. As already emerged from previous investigations, we find a clear correspondence between anisotropic d-dimensional vacua and relativistic solutions in d+1 dimensions. We will show that supersymmetric four-dimensional Poincaré invariant backgrounds in type IIB can descend to analogous solutions with anisotropic scaling in t and (x, y). This result can be applied to scale invariant theories, domain walls interpolating between four-dimensional Lifshitz vacua and more general solutions with only asymptotic, approximate scaling behaviour and hyperscaling violation. © SISSA 2012.