RUI: Supersymmetric gauge theory and Dirichlet-branes

摘要PI：Stephen Naculich机构：鲍登学院PHY-0456944题目：RUI：超对称规范理论和狄利克雷膜本提案着重于超对称规范理论的非微扰性质，使用IIA型弦理论/M理论、IIB型弦理论/超引力和Dijkgraaf-Vafa矩阵模型的结果。PI计划：（1）用矩阵模型方法研究了Seiberg-Witten曲线和微分不完全已知的椭圆模型的非微扰性质，（2）用规范/超引力对偶性研究了包含基本物质的强耦合规范理论的热力学，考察了对应于D2-和D 6-膜定域组态的非极值超引力解，（3）利用由分数D ~ 3-膜的世界体积产生的规范理论的非微扰前势，研究了轨道折叠背景下分数D ~ 3-膜的超引力解的若干方面。由于该项目全面涉及本科生的参与，因此它通过提供量子力学、群论和场论方面的培训以及接触理论物理学的研究方法，对他们的教育做出了更广泛的影响。

Abstract PI:Stephen Naculich Institution : Bowdoin College PHY-0456944 Title: RUI: Supersymmetric gauge theory and Dirichlet-branes 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 PI plans to: (1) use matrix-model methods to explore nonperturbative properties of elliptic models for which the Seiberg-Witten curve and differential are only incompletely known, (2) use gauge/supergravity duality to explore the thermodynamics of strongly-coupled gauge theories containing fundamental matter by examining non-extremal supergravity solutions corresponding to localized configurations of D2- and D6-branes, and (3) study aspects of the supergravity solution corresponding to fractional D3-branes in an orbifold background by using the nonperturbative prepotential of the gauge theory that arises on the worldvolume of the fractional D3-branes. Because this project integrally involves undergraduate participation, it has the broader impact of contributing to their education by providing training in quantum mechanics, group theory, and field theory, and exposure to research methods in theoretical physics.