Intersecting D-branes and Lifshitz-like space-time

In a previous paper [P. Dey and S. Roy, J. High Energy Phys. 06 (2012) 129] we have shown how Lifshitz-like space-times (space-times having Lifshitz scaling with hyperscaling violation) arise from $1/4$ Bogomol'nyi-Prasad-Sommerfield, threshold F-Dp--bound state solutions of type II string theories in the near horizon limit. In this paper we show that similar structures also arise from the near horizon limit of $1/4$ Bogomol'nyi-Prasad-Sommerfield, threshold-intersecting D-brane solutions of type II string theories. Some of these solutions are standard (Dp-D(p+4) for $p=0$, 2) and some are nonstandard (Dp-D(p+2) for $p=1$, 2, 3), including D2-D2^', D3-D3^', and D4-D4^' solutions. The dilatons of these solutions, in general, run (except in D2-D4 and D3-D3^' cases) and produce renormalization group flows. We discuss the phase structures of these solutions. D2-D4 and D3-D3^' in the near horizon limit do not produce Lifshitz-like space-time but give AdS₃ spaces.