Research in Geometry, String Compactifications, and Mathematical String Theory.

几何、弦紧化和数学弦理论研究。

基本信息

批准号：
1068725
负责人：
Eric Sharpe
金额：
$ 13.5万
依托单位：
Virginia Polytechnic Institute and State University
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2011
资助国家：
美国
起止时间：
2011-09-01 至 2014-08-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1068725&HistoricalAwards=false
关键词：
Research Geometry String Compactifications Mathematical

项目摘要

This award funds the research activities of Professor Eric Sharpe at Virginia Polytechnic Institute and State University.Mirror symmetry is a duality between string theories whose discovery led to ground-breaking advances in both physics and mathematics. In his research, Professor Sharpe aims to develop a generalization of mirror symmetry, known as ``(0,2) mirror symmetry,'' which would be a powerful computational tool for understanding four-dimensional theories with minimal supersymmetry obtained from string theory by rolling up or `compactifying' six dimensions on a compact space. One significant part of that research will be to further develop `quantum sheaf cohomology,' a notion originally developed by Professors Sharpe and Sheldon Katz, which computes quantum corrections to charged matter couplings and is closely tied to the mathematics of these theories.This project will also have significant broader impacts. Professor Sharpe will involve graduate students and postdocs in his research, and so provide critical training to junior physicists beginning research in this area. In addition to organizing Southeast regional mathematical string theory meetings at Duke University twice annually, he also plans to organize a workshop on the subject of (0,2) mirror symmetry.

该奖项为弗吉尼亚理工学院和州立大学的埃里克·夏普（Eric Sharpe）教授的研究活动提供了资金。Mirror对称性是弦理论之间的双重性，其发现导致了物理学和数学的突破性进步。在他的研究中，夏普教授旨在发展镜子对称性的概括，称为``（0,2）镜面对称性''，这将是一种强大的计算工具，用于理解四维理论，``通过``通过滚动''或``通过在compactact space''上滚动或六个尺寸而获得的微小超对称性来进行了``四维的超对称''。该研究的重要部分将是进一步开发“量子造成的协调性”，这是由Sharpe教授和Sheldon Katz最初提出的，该概念将量子校正计算为带电物质耦合，并与这些理论的数学密切相关。这项项目还将产生更大的更广泛的影响。夏普教授将参与研究生和博士后的研究，因此为初级物理学家提供了在该领域开始研究的重要培训。除了每年两次在杜克大学组织东南地区数学弦理论会议外，他还计划组织一个关于（0,2）镜面对称性主题的研讨会。