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

TL;DR

This paper constructs intersecting brane solutions in string theory that produce Lifshitz-like space-times with specific critical exponents, revealing how such geometries can emerge from string theory and exploring their holographic properties.

Contribution

It introduces new 1/4 BPS bound states of branes in string theory and demonstrates their near horizon limits lead to Lifshitz-like geometries with variable exponents, expanding the understanding of holographic duals.

Findings

Lifshitz-like space-times with dynamical exponent z=2(5-p)/(4-p) derived from string theory.

Hyperscaling violation exponent θ depends on p, showing geometric diversity.

For p=4, the near horizon limit yields AdS2 space instead of Lifshitz-like geometry.

Abstract

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 $\theta = p - (p-2)/(4-p)$, 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.