本项目主要研究M理论中的AdS/CFT对偶，即主要研究和M膜相关的AdS7/CFT6和AdS4/CFT3对偶及其相关的课题。(1)对于M5膜，构建和研究新的6维非阿贝尔超共形(1,0)tensor multiplet理论及其特例(2,0)理论，并研究由这些理论约化到5维和4维中的超对称Yang-Mills (SYM)理论，以及构建和研究和这些4-6维中的规范理论对偶的M/超弦理论。(2)对于M2膜，主要研究3维中的N=4 (Chern-Simons-Matter) quiver规范理论（尤其是理论的BPS态）以及系统地构建这些N=4理论的超引力/M理论对偶，并推导IIA超弦在和N=4场论对应的超引力几何背景（如AdS4 × M6）上的Green-Schwarz作用量，以及研究此IIA弦的谱(spectrum)和动力学理论，并讨论可积性(integrability)。

We will mainly study the AdS/CFT correspondence in M-theory.In other words, we will study the AdS7/CFT6 and AdS4/CFT3 correspondences relating to M-branes, and related topics. (1) For M5-branes, we will construct and study new 6D nonabelian superconformal (1,0) tensor multiplet theories and their special cases (2,0)theories. We will study 5D and 4D supersymetric Yang-Mills (SYM) , obtained from (r,0) theories (r=1, 2) by dimension reduction. We will construct the dual M/superstring theories of the these gauge theories in 4D, 5D, and 6D. (2) For M2-branes, we will mainly study 3D ??=4 (Chern-Simons-Matter) quiver gauge theories (especially their BPS states), and construct their supergravity/M-theory duals systematically .We will constuct the Green-Schwarz actions of IIA superstirngs on the supergravity backgrounds (such as AdS4 × M6）corresponding to these ??=4 field theories. We will study the spectrums and dynamics of these IIA strings, and discuss the integrability of these IIA string theories.