引力/规范对偶在强耦合量子多体系统中的应用研究

引力/规范对偶的发现是弦论,也是理论物理最近二十年重要的进展之一，其强/弱对偶的性质为研究强耦合场论提供了一个全新的方法和思路。近十几年来，引力/规范对偶被普遍应用于研究量子色动力学，流体力学，强耦合凝聚态系统等方面，取得了很多重要的进展。本项目专注于应用规范/引力对偶来研究凝聚态系统的性质，也就是所谓的量子多体系统的性质。主要研究的方向有：1. 非均匀全息超导体研究，进一步无序和杂质（磁性）对全息超导的影响。2.全息非平衡态问题研究，主要关注非平衡态相变问题和超导中涡旋晶格态的动力学行为。3.引力/规范对偶中的电子输运性质，主要关注光电导的标度行为和直流电导和温度的关系。4.全息重正化群和低能有效理论，主要关注全息凝聚态模型和传统凝聚态低能有效理论之间的联系以及semi-holographic图像的应用。

Gauge/Gravity dual is one of the important founding of theoritical physics in the past 20 years. As a strong/weak dual, it provides a new way to understand thestrongly coupled field theory. In the past ten years, Gauge/Gravity dual has been widely used to study QCD, hydrodynamics and condensed matter physics, and many important results have been obtained. Our project focus on using this dual to study quantum many body systems. There are four main diractions: 1. The propertiesof holographic inhomogeneous superconductors. 2. Holographic non-equalibrium process. 3. Electronic transport in Gauge/Gravity dual. 4. Holographic renormalization group and low energy effective theory in holographic condensedmatter theories.