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

Abstract

We construct 1/4 BPS, threshold F-Dp bound states (with 0 ≤ p ≤ 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-Dp bound states. The near horizon limits of these solutions yield Lifshitz-like spacetimes with varying dynamical critical exponent z = 2(5 − p)/(4 − p), for p = 4, along with the hyperscaling violation exponent θ = p − (p − 2)/(4 − p), showing how Lifshitz-like space-time can be obtained from string theory. 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.

Holographic thermalization with Lifshitz scaling and hyperscaling violation

“…By now there exist various holographic dual models for critical points involving Lifschitz scaling and hyperscaling violation [33][34][35][36][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57]. In the light of the rich scaling structure in the time evolution of entanglement entropy, it is interesting to see how it carries over to systems with Lifshitz scaling and hyperscaling violation.…”

Black branes in flux compactifications

“…We stress that this is a local statement, independent of whether such geometries can be embedded into an asymptotically AdS solution. Such a source can come from positive internal curvature, for instance in sphere reductions [83,84] or near horizon limits of branes [80][81][82]. For the flux compactifications discussed in this work, the source of negative energy comes from orientifold planes.…”

“…The case θ = 1 is a promising candidate for Fermi surfaces [76][77][78], and more general values of θ can reproduce some of the properties of systems with disorder [79]. In UV complete theories, these geometries are in general valid over some finite range of r, with simple examples coming from Dp brane solutions [80][81][82]. Let us first discuss some general properties.…”

On 1/4 BPS ((F, D1), (NS5, D5)) bound states of type IIB string theory

“…However, the construction and the charge relation in this case are very similar to those of 1/2 BPS ((F, D1), (NS5, D5)) state we constructed earlier in [3] and so we will be brief here. The 1/4 BPS (F, Dp) threshold bound states were constructed in [14], so, we write down the (F, D5) solution from that reference, putting p = 5 in their eq. (2.6), in the following,…”