本项目将从唯象全息模型和微观强耦合量子理论两个角度去研究强耦合量子多体问题。利用规范/引力对偶理论，我们将通过构建新的经典引力黑洞解并利用其全息性质唯象地研究奇非费米液体相、奇异金属相、拓扑绝缘体、半金属和狄拉克材料的热力学和量子输运性质。同时，利用最近理论家发展出来的Sachdev-Ye-Kitaev模型及其推广，从微观理论的视角去阐释奇异金属、高温超导、非费米液体体系和量子复杂系统的新奇实验性质。深度探究规范/引力对偶理论和SYK模型的内在本质联系及其对量子引力的影响。在上述理论工作的基础上和实验家合作，用相关实验数据验证理论结果并预言一些未知的实验现象。

This project focus on the strongly coupled quantum many-body systems from the viewpoint of holographic model and microscopic theory. Using the gauge/gravity duality, we will try to find new black hole solution and investigate its field dual properties. We will study the thermodynamic and quantum transporting properties of non-Fermi liquid, strange metal, topological insulators, semi-metal and Dirac materials by exploring the holographic principle. At the same time, by using the recent developed Sachdev-Ye-Kitaev model and its deformations, we are going to study strange metal, high temperature superconductors, non-Fermi material and quantum complex system. The deep connections between gauge/gravity duality and the SYK model and their relationships with quantum gravity theory will be discussed. Based on the above theoretical work and working along with experimenters, we will verify our results with experimental data and predict some unknown experimental phenomena.