Lifshitz metric with hyperscaling violation from NS5-Dp states in string theory

Abstract

In our previous papers 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 D$p$-branes and also with two D-branes) of string theory. In this paper we construct intersecting bound state solutions in the form of NS5-D$p$-branes (with $1\le p\le 6$) of type II string theories. These are 1/4 BPS and threshold bound states unlike the known NS5-D$p$ 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.

12 pages, no figure; v2: Added references; v3: more clarifications added, version to appear in Phys. Lett. B

References in corpus (6)

• Effective Holographic Theories for low-temperature condensed matter systems
• Hyperscaling-Violation on Probe D-Branes
• Hyperscaling violation from supergravity
• Phase transition and hyperscaling violation for scalar Black Branes
• Entangled Dilaton Dyons
• Holographic entanglement entropy of the near horizon 1/4 BPS F-D$p$ bound states

Cited by in corpus (21)

• Holographic Models for Theories with Hyperscaling Violation
• Holographic thermalization with Lifshitz scaling and hyperscaling violation
• Quantum Fluctuations in Holographic Theories with Hyperscaling Violation
• Thermodynamics of Schrödinger black holes with hyperscaling violation
• Aspects of Current Correlators in Holographic Theories with Hyperscaling Violation
• Zero sound in strange metals with hyperscaling violation from holography
• Greybody Factors of Holographic Superconductors with $z=2$ Lifshitz Scaling
• Holography for anisotropic branes with hyperscaling violation
• Electrically-Charged Lifshitz Spacetimes, and Hyperscaling Violations
• Hyperscaling violation : a unified frame for effective holographic theories
• Hyperscaling violating black holes in scalar-torsion theories
• From AdS to Schrödinger/Lifshitz dual space-times without or with hyperscaling violation
• Non-Abelian (Hyperscaling Violating) Lifshitz Black Holes in General Dimensions
• Scalar Perturbations of Nonlinear Charged Lifshitz Black Branes with Hyperscaling Violation
• Interpolating solution from AdS${}_5$ to hyperscaling violating Lifshitz space-time
• Fermionic field perturbations of a three-dimensional Lifshitz black hole in conformal gravity
• New black holes with hyperscaling violation and transports of quantum critical points with magnetic impurity
• Brane solutions sourced by a scalar with vanishing potential and classification of scalar branes
• On hvLif-like solutions in gauged Supergravity
• Spread of Entanglement in Non-Relativistic Theories
• Entanglement rules for holographic Fermi surfaces