vix.ing · top · new · best · stats · spec

Spatial Anisotropy in Nonrelativistic Holography

2016/12/05 by Joshua W. Foster, Foster, Joshua W., James T. Liu +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.1612.01557

openalex publication_date 2016/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine holographic theories where Lifshitz symmetry is broken with spatial anisotropy. In particular, we focus on the conditions imposed by the null energy condition, and demonstrate that it is possible to have unusual anisotropic fixed points where a subset of the spatial dimensions have negative scaling exponents. We also construct interpolating solutions between UV and IR fixed points and show that there is essentially no restriction placed on the endpoints of the flow once anisotropic scaling is allowed. As an example, we demonstrate a flow from AdS to AdS with cIR>cUV that is allowed by the null energy condition since it proceeds through an intermediate Lorentz-violating region. Finally, we examine the holographic Green's function in anisotropic Lifshitz spacetimes.

Citations

Related