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We present type IIB supergravity solutions which are expected to be dual tocertain Lifshitz-like fixed points with anisotropic scale invariance. They areexpected to describe a class of D3-D7 systems and their finite temperaturegeneralizations are straightforward. We show that there exist solutions thatinterpolate between these anisotropic solutions in the IR and the standard AdS5solutions in the UV. This predicts anisotropic RG flows from familiar isotropicfixed points to anisotropic ones. In our case, these RG flows are triggered bya non-zero theta-angle in Yang-Mills theories that linearly depends on one ofthe spatial coordinates. We study the perturbations around these backgroundsand discuss the possibility of instability. We also holographically computetheir thermal entropies, viscosities, and entanglement entropies.

On String Theory Duals of Lifshitz-like Fixed Points