本项目旨在研究Horava-Lifshitz引力的全息性质，以及它在非相对论性对偶量子场论中的应用。在理论方面，我们将致力于Horava-Lifshitz 引力全息模型的构建及其全息性质的研究，包括构建有限温度的Horava-Lifshitz引力全息模型，Horava-Lifshitz 引力的全息重整化群流的研究，以及讨论该理论所具有的时空各向异性对对偶量子场论高阶修正的影响。在应用方面，利用Horava-Lifshitz引力理论自身的非相对论性特点，项目将着重利用Horava-Lifshitz全息研究具有非相对论性的对偶量子场的性质，包括强耦合电子系统的输运性质、非相对论性的费米子系统的谱函数等。这些研究从理论上能用于描述现实中的各种强耦合和凝聚现象，对于强耦合系统的凝聚态各物质相的认识也有所帮助，从而能为全息性质的实验研究提供线索。

This project aims to study the holographic property of Horava-Lifshitz(HL) gravity and its applications to non-relativistic dual QFTs. In theory side, attentions will be paid to the construction of the holographic HL and the holographic properties of HL gravity. We will focus on the related topics covering the finite temperature HL holographic models,the holographic renormalization flow of the HL gravity,the impacts of the anistropic properties of the HL gravity in UV on the the higher-order perturbations of dual QFTs. On the side of application, with the remarkable properties that the anistropic scaling is built in by construction in the HL gravity, we apply it to study the properties of the dual non-relativistic QFTs. This mainly contains the transport properties of the quantum field in the strongly coupled limit and spectrum of the non-relativistic holographic fermions. These investigations can be used to reveal many strong-coupling and condensed phenomena. They are also helpful in understanding the matter phases of condensed matter, which in turn, provides useful clues to the exprimental ivestigations of the holographic properties.