1203.5381 (Parijat Dey et al.)

Lifshitz-like space-time from intersecting branes in string/M theory    [PDF]

Parijat Dey, Shibaji Roy

We construct 1/4 BPS, threshold F-D$p$ bound states (with $0\leq p \leq 5$) of type II string theories by applying S- and T-dualities to the D1-D5 system of type IIB string theory. These are different from the known 1/2 BPS, non-threshold F-D$p$ bound states. The near horizon limits of these solutions yield Lifshitz-like space-times with varying dynamical critical exponent $z=2(5-p)/(4-p)$, for $p\neq 4$, along with the hyperscaling violation exponent $\theta = (2-p)(p+1)/(2(4-p))$, showing how Lifshitz-like space-time can be obtained from string theory. Only for $p=2$, we get Lifshitz space-time with no hyperscaling violation ($\theta=0$). The dilatons are in general non-constant (except for $p=1$). We discuss the holographic RG flows and the phase structures of these solutions. For $p=4$, we do not get a Lifshitz-like space-time, but the near horizon limit in this case leads to an AdS$_2$ space.

View original: http://arxiv.org/abs/1203.5381