Research in Elementary Particle Physics

基本粒子物理研究

• 批准号: 1818875
• 负责人: Jeffrey Harvey
• 金额: $ 39万
• 依托单位: University of Chicago
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-09-15 至 2023-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1818875&HistoricalAwards=false
• 关键词: Research; Elementary; Particle; Physics

This award funds the research activities of Professor Jeffrey Harvey at the University of Chicago.With the discovery of the Higgs boson, the Standard Model of particle physics is now complete, but there are still many important outstanding questions involving the fundamental structure of matter and energy and their interactions. These include understanding what sorts of mathematical structures are needed to combine gravity and quantum mechanics, as well as to understand the origin of dark matter and dark energy. String theory provides one possible framework in which to address these questions. Part of this project is devoted to the study of new mathematical structures which have been discovered in string theory and which are closely connected to the area of mathematics that studies the properties of whole numbers. These new mathematical structures are also relevant to the study of topics such as the structure of new types of materials called topological insulators and perhaps even to the study of physical systems which may be used to construct quantum computers. This project will also have broader impacts beyond the generation of new knowledge. It will involve postdocs, graduate students, and at times undergraduate students, and will provide critical training for the next generation of physicists as they start research. This pool of technical knowledge provides the foundation for much of the technology developed by the United States, and enhancing this pool of knowledge is therefore in the national interest. The PI will also lecture at international schools and workshops and in public-outreach events in the Chicago area.More technically, the PI will extend his past work on the role of Hecke operators in two-dimensional conformal field theory and investigate possible applications both to mathematical physics and to various systems in condensed-matter physics where conformal field theory plays a central role. He also plans to work on new developments concerning connections between modular forms and the representation theory of finite groups, and to explore the physics of non-compact conformal field theories and their connections to mock modular forms and to black-hole entropy in string theory.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该奖项为芝加哥大学的杰弗里·哈维（Jeffrey Harvey）教授的研究活动提供了资金。随着发现希格斯玻色子的发现，粒子物理的标准模型现已完成，但是仍然有许多重要的杰出问题，涉及物质和能量的基本结构及其互动。 其中包括了解需要哪种数学结构来结合重力和量子力学，并了解暗物质和暗能量的起源。字符串理论提供了解决这些问题的一个可能的框架。该项目的一部分致力于研究在弦理论中发现的新数学结构，并与研究整数属性的数学领域紧密相关。这些新的数学结构也与研究主题的研究有关，例如新型材料的结构，称为拓扑绝缘子，甚至与可用于构建量子计算机的物理系统的研究。该项目还将产生更广泛的影响，而不是新知识的产生。它将涉及博士后，研究生和有时本科生，并在开始研究时为下一代物理学家提供重要的培训。 这种技术知识库为美国开发的许多技术奠定了基础，因此，增强这种知识库符合国家利益。 PI还将在芝加哥地区的国际学校和研讨会以及公共造型活动中进行演讲。从技术上讲，PI将扩大他过去在Hecke运营商在二维结构结构野外理论中的作用的工作，并调查了数学物理学以及在凝结物理学中的各种系统中的可能应用，在凝聚的物理学中扮演了中心的中心角色。 He also plans to work on new developments concerning connections between modular forms and the representation theory of finite groups, and to explore the physics of non-compact conformal field theories and their connections to mock modular forms and to black-hole entropy in string theory.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

项目成果

Modular Products and Modules for Finite Groups

有限群的模块化产品和模块

• DOI: 10.1007/s10468-023-10210-4
• 发表时间: 2023
• 期刊: Algebras and Representation Theory
• 影响因子: 0.6
• 作者: Duncan, John F.;Harvey, Jeffrey A.;Rayhaun, Brandon C.
• 通讯作者: Rayhaun, Brandon C.

Conformal Field Theories with Sporadic Group Symmetry

• DOI: 10.1007/s00220-021-04207-7
• 发表时间: 2020-02
• 期刊: Communications in Mathematical Physics
• 影响因子: 2.4
• 作者: J. Bae;J. Harvey;Kimyeong Lee;Sungjay Lee;Brandon C. Rayhaun

Moonshine, superconformal symmetry, and quantum error correction

Moonshine、超共形对称性和量子纠错

• DOI: 10.1007/jhep05(2020)146
• 发表时间: 2020
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Harvey, Jeffrey A.;Moore, Gregory W.
• 通讯作者: Moore, Gregory W.

Galois symmetry induced by Hecke relations in rational conformal field theory and associated modular tensor categories

• DOI: 10.1088/1751-8121/ab8e03
• 发表时间: 2019-12
• 期刊: Journal of Physics A: Mathematical and Theoretical
• 作者: J. Harvey;Yichen Hu;Yuxiao Wu

A passion for theoretical physics: a special issue in memory of Peter G O Freund

对理论物理的热情：纪念 Peter G O Freund 的特刊

• DOI: 10.1088/1751-8121/abb512
• 发表时间: 2021
• 期刊: Journal of Physics A: Mathematical and Theoretical
• 作者: Harvey, Jeffrey A;Martinec, Emil J;Nepomechie, Rafael I
• 通讯作者: Nepomechie, Rafael I