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 theta = 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 AdS(3) structure. (c) 2013 Elsevier B.V. All rights reserved.