引力/规范场(AdS/CFT)对偶是弦论很重要的一个结论。作为研究强耦合场论的有效工具，用AdS/CFT对偶来研究QCD以及凝聚态理论中的强耦合系统已经成为了一个很热门的领域, 如用来研究超导以及高温超导体的非费米液体态，分数量子霍尔效应，拓扑绝缘体和拓扑超导体， 量子相变等，并取得了非常好的进展。本项目的研究方向主要包括两个方面:1,寻找更多的引力模型来研究更多的量子多体现象以及对已有各种模型的进一步的理解。2，试图把研究多体系统的传统场论方法和现在的新的AdS/CFT模型（引力模型）联系起来，这需要用到全息重整化群以及对AdS/CFT更深的认识。本项目包括研究各种全息超导模型的性质，构造一维的全息超导体，研究有限温的全息B-K-T相变，研究全息自旋霍尔效应和分数量子霍尔效应，及AdS/CFT相变模型和Gindzburg-Laudau模型的联系等。

The AdS/CFT correpondence is one of the most important.results in String theory. As a very effective method to study the strongly coupled.field theroy (which we know little from the purterbative method),AdS/CFT has been used to study the real world strongly coupled physics, like QCD and many strongly coupled condensed matter physics. The application of AdS/CFT to condensed matter physics inludes the high temperature superconductor, non-Fermion liquid and so on. Many valueable results has been obtained. The plan of the project can be divided into two parts. One is to find more theories in AdS/CFT in order to study more phenomena in condensed matter physics. The other is to try to bridge the gap between the traditional field theory method and the new method.