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

该提案重点关注超对称规范理论的非微扰特性，使用 IIA 型弦理论/M 理论、IIB 弦理论/超引力和 Dijkgraaf-Vafa 矩阵模型的结果。研究重点是10维超引力理论中存在的3维和6维空间膜（膜）的性质。为了更彻底地理解非平凡引力和 B 场背景中的狄利克雷膜，PI 建议表征某些二维 N = 2 超共形陪集模型 (Kazama-Suzuki) 背景中的 D 膜谱，并在已知相当于体理论的某些模型对的边界态之间建立同构。 PI 还建议识别与某些四维 N = 2 超对称规范理论相对应的精确 M 理论配置，并使用它们来计算对这些理论的预势的非微扰校正。 PI 还计划采用矩阵模型技术来研究上述四维 N = 2 超对称规范理论的非微扰方面。 PI 在让鲍登学院的本科生参与研究方面取得了巨大成功。作为他研究的一部分，他将与本科生一起监督二维杨-米尔斯理论的研究，这是一个完全可解的模型