Interpolating solution from AdS5 to hyperscaling violating Lifshitz spacetime

We construct two interpolating solutions in type II string theory which interpolate between AdS(5) in the UV and a hyperscaling-violating three (spatial)-dimensional Lifshitz spacetime in the IR. The first solution is nonsupersymmetric and is obtained from a known intersecting nonsupersymmetric D3-brane with a chargeless D0-brane solution of type IIB string theory, by restricting some parameters characterizing the solution and going to a new coordinate. In the IR the dilaton is nonconstant in general and the metric is three (spatial)-dimensional hyperscaling-violating Lifshitz spacetime with dynamical critical exponent z = (3 + 3 gamma)/(3 - gamma) and hyperscaling-violation exponent. theta = 12/(3 - gamma), where gamma is a real parameter and can take continuous values from -1 to +1. At the two extreme values, i.e., for gamma = +/- 1, the dilaton is constant. On physical grounds it is found that. must be restricted to lie in the range -1 <= gamma <= 0. The second solution is supersymmetric and is obtained from the known F-D2 bound-state solution of type IIA string theory by zooming into a particular region of space. In the UV, the proper description is given in a T-dual frame which is AdS(5), whereas in the IR, it gives a three-dimensional hyperscaling-violating Lifshitz spacetime with z = 3 and theta = 2 = d - 1.