RUI: Supersymmetric gauge theory and Dirichlet-branes

文章摘要PI：Stephen Naculich研究所：Bowdoin College PHY-0456944标题：RUI：超对称规范理论和Dirichlet膜这个提议利用IIA型弦理论/M理论、IIB型弦理论/超重力和Dijkgraaf-Vafa矩阵模型的结果，重点讨论了超对称规范理论的非微扰性质。PI计划：(1)使用矩阵模型方法探索Seiberg-Witten曲线和微分只是不完全已知的椭圆模型的非微扰性质；(2)通过考察与D2和D6膜的定域组态相对应的非极端超引力解，利用规范/超重力二象性来探索包含基本物质的强耦合规范理论的热力学；以及(3)利用在分数D3膜的世界体积上出现的规范理论的非微扰预势，研究与分数D3膜相对应的超重力解的方面。由于这个项目整体上涉及本科生的参与，它具有更广泛的影响，通过提供量子力学、群论和场论的培训，以及接触理论物理的研究方法，为他们的教育做出贡献。

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.