Gauge brane solitons and generalized instantons in heterotic flux compactifications

异质通量紧化中的规范膜孤子和广义瞬时子

• 批准号: 220876282
• 负责人: Professor Dr. Olaf Lechtenfeld
• 金额: --
• 依托单位: Institut für Theoretische Physik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2012
• 资助国家: 德国
• 起止时间: 2011-12-31 至 2020-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/220876282?language=en
• 关键词: Gauge; brane; solitons; generalized; instantons

String theory remains a leading candidate for a unified description of the fundamental particles and forces in Nature including gravity. Heterotic string or M-theory compactification from ten respectively eleven to four spacetime dimensions still is a paradigm for making contact with phenomenology. In the last twenty years we have witnessed dramatic developments (dualities, branes, gauge/gravity correspondence etc.) and an increasing role of algebro-geometric methods in the worldwide study of superstrings, branes and supersymmetric gauge theories. My research group participated in these endeavors through the investigation of N=2 strings, noncommutative field theories, flux compactifications on special geometries, instantons in various dimensions and their lift to solutions of heterotic supergravity, adiabatic limits and quiver gauge theories. Our studies have given us far-reaching competence in differential geometry, twistor methods, extended supersymmetry and gauge theories in various dimensions.The project concentrates on low-energy heterotic string theory with fluxes. We will investigate compactifications on G-structure manifolds with instantons and fluxes and characterize the moduli spaces of the corresponding dS- and AdS-type string vacua. We will search for cosmological solutions of heterotic supergravity. Different reductions of six-dimensional N=(2,0) superconformal field theory on product manifolds will be undertaken, extending the AGT correspondence and utilizing integrability properties of N=4 super Yang-Mills theory in four dimensions.

弦理论仍然是统一描述自然界中基本粒子和力（包括引力）的主要候选者。杂合弦或M理论从10维到11维到4维的紧化仍然是与现象学接触的一个范例。在过去的二十年里，我们见证了戏剧性的发展（对偶，膜，规范/引力对应等）。代数几何方法在超弦、膜和超对称规范理论的世界范围内的研究中发挥着越来越重要的作用。我的研究小组参与了这些努力，通过调查N=2弦，非对易场论，特殊几何的通量紧致化，各种维度的瞬子及其对杂合超引力，绝热极限和超规范理论的解的提升。我们的研究使我们在微分几何、扭量方法、扩展的超对称性和各种维度的规范理论方面具有深远的能力。我们将研究具有瞬子和通量的G-结构流形上的紧化，并刻画相应的dS-和AdS-型弦真空的模空间。我们将寻找杂化超引力的宇宙学解。我们将在乘积流形上对六维N=（2，0）超共形场论进行不同的约化，扩展AGT对应，并利用四维N=4超杨-米尔斯理论的可积性。