RUI: Supersymmetric gauge theory and Dirichlet-branes

RUI：超对称规范理论和狄利克雷膜

• 批准号: 0756518
• 负责人: Stephen Naculich
• 金额: $ 10.5万
• 依托单位: Bowdoin College
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-11-01 至 2011-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0756518&HistoricalAwards=false
• 关键词: RUI; Supersymmetric; gauge; theory; Dirichlet

This proposal focuses on the nonperturbative properties of supersymmetric gauge theories using results from type IIA string theory/M-theory, IIB string theory/supergravity, and Dijkgraaf-Vafa matrix models. The research focuses on the property of 3 and 6 space dimensional branes (membranes) that exist in 10 dimensional Supergravity theories. In order to more thoroughly understand Dirichlet-branes in nontrivial gravitational and B-field backgrounds, the PI proposes to characterize the spectrum of D-branes in certain two-dimensional N = 2 superconformal coset model (Kazama-Suzuki) backgrounds, and to establish an isomorphism between the boundary states of certain pairs of models known to be equivalent as bulk theories. The PI also proposes to identify the precise M-theory configurations that correspond to certain four-dimensional N = 2 supersymmetric gauge theories and to use these to compute nonperturbative corrections to the prepotentials of those theories. The PI also plans to employ matrix model techniques to study nonperturbative aspects of the four-dimensional N = 2 supersymmetric gauge theories described above. The PI has had great success in involving undergraduate students at Bowdoin in research. As part of his research, he will supervise investigations of two-dimensional Yang-Mills theory, an exactly solvable model, with undergraduate students

该提案着重于使用IIA字符串理论/M理论，IIB弦理论/超级重力和Dijkgraaf-VAFA矩阵模型的结果的超对称规格理论的非扰动特性。该研究的重点是在10维超级理论中存在的3和6空间维度麸皮（膜）的性质。为了更彻底地理解非平凡的引力和B场背景中的Dirichlet-branes，PI提议在某些二维n = 2超级符号宇宙模型（Kazama-Suzuki）背景中表征D-Branes的频谱，并在某些模型之间建立等同性的界面，以等效地构成与某些模型之间建立等同形态的纽带。 PI还建议识别与某些四维n = 2超对称量规的理论相对应的精确的M理论配置，并使用这些理论对这些理论的预倾向进行计算非扰动校正。 PI还计划采用矩阵模型技术来研究上述四维n = 2超对称仪表理论的非扰动方面。 PI在鲍登（Bowdoin）参与研究的本科生方面取得了巨大的成功。作为他的研究的一部分，他将与本科生有关的二维Yang-Mills理论进行调查，这是一个确切的可解决模型