CAREER: Effective Field Theories from String Compactification

职业：弦紧化的有效场论

• 批准号: 1452037
• 负责人: Jonathan Heckman
• 金额: $ 40万
• 依托单位: University of North Carolina at Chapel Hill
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-07-01 至 2017-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1452037&HistoricalAwards=false
• 关键词: CAREER; Effective; Field; Theories; String

This award funds the research activities of Professor Jonathan Heckman at the University of North Carolina (UNC)at Chapel Hill. This research will focus on using string theory to understand the workings of Nature at the shortest distance scales. Strings continue to have significant impact on theoretical physics, with interdisciplinary connections ranging from the physics of subatomic particles to pure mathematics. One of the most important open issues is how to connect this framework to experimentally verified theories of subatomic particles. This project aims to use the geometry of extra dimensions predicted by string theory to construct and study theoretical models of relevance both for theories of subatomic particles, and for more formal mathematical applications.The education and outreach efforts of this program will introduce students to the power of geometric methods in theoretical physics. 1) At the postdoc and graduate level, the PI will maintain a collaborative research environment. 2) The PI will develop a course on geometric methods in high energy theory. 3) At the undergraduate level, the PI will advise students on geometric and computational aspects of string theory through the UNC REU program on computational methods in physics held in his department. 4) The PI will work closely with the Morehead Planetarium and Science Center to develop a set of outreach modules aimed at conveying the broad range of energy scales which are actively being investigated by high energy theorists and experimentalists.The technical components of this program will focus on the development of new tools in the study of string compactification at strong coupling, and the resulting low energy effective field theories. Particular emphasis will be placed on compactifications of F-theory. This will entail developing the correspondence between the open string degrees of freedom in the worldvolume theory of intersecting seven-branes, and closed string degrees of freedom captured by elliptically fibered Calabi-Yau manifolds. Additional components will entail the development of specific string-motivated scenarios for physics beyond the Standard Models of particle physics and cosmology. Particle physics applications will include the study of kinetic mixing with a strongly coupled extra sector. Cosmology applications will include the development of inflationary reheating scenarios coupled to concrete stringy particle physics models. This project will also focus on using the geometry of F-theory compactifications as a tool to classify and study superconformal field theories (SCFTs) in diverse dimensions. This will include a classification of 6D SCFTs, the construction of new 4D N = 1 SCFTs from D3-brane probes of singular Calabi-Yau fourfold geometries, and the development of 2D SCFTs with N = (0,2) supersymmetry from compactification on singular elliptically fibered Calabi-Yau fivefolds.

该奖项为教堂山北卡罗来纳大学（UNC）的乔纳森·赫克曼（Jonathan Heckman）教授的研究活动提供资金。这项研究将集中于使用弦理论以最短的距离了解自然的运作。字符串继续对理论物理学产生重大影响，跨学科的连接范围从亚原子颗粒的物理学到纯数学。最重要的开放问题之一是如何将该框架与实验验证的亚原子颗粒理论联系起来。该项目旨在利用字符串理论预测的额外维度的几何形状来构建和研究对亚原子粒子理论的相关性和更正式的数学应用的理论模型。该计划的教育和外展工作将向学生介绍理论物理学中几何方法的力量。 1）在博士后和研究生级别，PI将保持协作研究环境。 2）PI将开发有关高能理论几何方法的课程。 3）在本科级别，PI将通过UNC REU计划在其部门中的物理学中对String理论的几何和计算方面进行建议。 4）PI将与莫尔黑德天文馆和科学中心紧密合作，以开发一套旨在传达高能量理论家和实验者正在积极调查的范围的外展模块。该计划的技术组成部分将集中于在强大竞争和低相位效果的新工具中的新工具中的开发，并涉及到了低耦合和低竞争性的领域。特别重点将放在F理论的压缩上。这将需要在世界范围内的七烧伤理论中发展开放的弦乐自由度之间的对应关系，并通过椭圆纤维纤维的calabi-yau歧管捕获的封闭的弦乐自由度。除了粒子物理学和宇宙学的标准模型之外，其他组件将需要开发特定的弦动力方案。粒子物理应用将包括研究动力学混合与强耦合额外扇形的研究。宇宙学应用程序将包括通货膨胀再加热方案的发展，并结合具体的丝状粒子物理模型。该项目还将着重于使用F理论的压实数学作为在不同维度上对超符合现场理论（SCFT）进行分类和研究的工具。这将包括对6D SCFT的分类，从奇异的calabi-yau四倍几何形状的D3-桥探针中构建新的4D N = 1 SCFT，以及开发N =（0,2）超对称性的2D SCFT，来自eNcliptification的eN =（0,2）超对称性，来自椭圆形的Calabi-Yau fiffolds。