Gauge theories, strong interactions and string theory

最近对边界弦理论的理解取得了进展，这使得人们看到了经典的10维引力和4维共形场论之间的联系。这一建议将进一步探讨弦理论和规范理论之间的关系，以理解强子的结构。主要思想是提高对AdS/CFT对应关系的理解，以便类似的方法可以应用于强相互作用量子色动力学（QCD）理论。作为主要目标的垫脚石，本项目拟研究光锥规中的场论平面图。他希望从场论中理解弦作为描述长规范不变量算子的工具的出现。他将寻找具有特征性质的弦运动方程的新解，使它们在对应的场论方面可识别。他还将研究尖异常计算的推广，以更好地理解超对称规范理论中胶子的动力学。PI计划在普渡大学的QuarkNet中心举办一系列关于弦理论和粒子物理的入门讲座，作为他拓展活动的一部分。他还打算在廷德利速成学校（Tindley Accelerated School， 98%是少数族裔学生）讲课。

Recent advances in understanding String Theory on boundaries have led to seeing connections between classical Gravity in 10 dimensions and Conformal Field Theories in 4 dimensions. This proposal will explore further the relation between string and gauge theories to understand the structure of hadrons. The main idea is to improve the understanding of the AdS/CFT correspondence, so that similar methods could be applied to the theory of strong interactions Quantum Chromodynamics (QCD). As stepping stones to the main goal are the PI intends to study field theory planar diagrams in light-cone gauge. He hopes to understand the emergence of strings from a field theory as a tool for describing long gauge invariant operators. He will look for new solutions to the string equations of motion with characteristic properties that make them identifiable in the field theory side of the correspondence. He will also look at generalizations of cusp anomaly calculations to better understand the dynamics of gluons in gauge theories with supersymmetries. The PI plans to give as part of his outreach a series of popular introductory lectures on string theory and particle physics at the QuarkNet Center at Purdue. He also intends to give lectures at the Tindley Accelerated School (98% minority student population).