Lifshitz metric with hyperscaling violation from NS5-Dp states in string theory

In previous papers Dey and Roy (2012) [1], [2] we have shown how Lifshitz-like space-time (space-time having a Lifshitz scaling along with a hyperscaling violation) can arise by taking near horizon limits of certain intersecting solutions (F-string with Dp-branes and also with two D-branes) of string theory. In this Letter we construct intersecting bound state solutions in the form of NS5-Dp-branes (with 1⩽p⩽6) of type II string theories. These are 1/4 BPS and threshold bound states unlike the known NS5-Dp bound states which are 1/2 BPS and non-threshold. We show that the near horizon limits of these solutions also lead to Lifshitz-like space-time with the dynamical scaling exponent z=0 and the hyperscaling violation exponent θ=9−p. The spatial dimension of the boundary theory is d=7−p. The dilatons in these theories are not constant in general (except for p=5) and therefore produce RG flows. So, we also consider the strong coupling phases of these theories and find that these phases also have similar Lifshitz-like structures, except for p=2, where it has an AdS3 structure.