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Topics in String Theory

弦理论主题

基本信息

批准号：
2209700
负责人：
Per Kraus
金额：
$ 84万
依托单位：
University of California-Los Angeles
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2022
资助国家：
美国
起止时间：
2022-08-01 至 2025-07-31
项目状态：
未结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2209700&HistoricalAwards=false
关键词：
Topics String Theory

项目摘要

This award funds the research activities of Professors Eric D'Hoker, Michael Gutperle, and Per Kraus at the University of California, Los Angeles.Quantum field theory, which governs the laws of elementary particles, and Einstein's theory of General Relativity, which formulates gravity in terms of spacetime curvature, are known to accurately describe almost all observed physical phenomena from collider physics to cosmology. String theory is a compelling framework for incorporating these principles in a unified framework, yet despite decades of effort the fundamental structure of string theory remains poorly understood. A key ingredient is believed to be the holographic principle, relating quantum field theories to string theory in one higher dimension. The research of Professors D'Hoker, Gutperle, and Kraus is aimed at deepening our understanding of string theory, as well as developing its connection to quantum field theory through holography. Their research will have applications to such diverse physical systems as black holes and condensed matter as well as to pure mathematics, thereby serving the national interest by further the progress of basic science in the United States. This project will also have significant broader impact. Professors D'Hoker, Gutperle, and Kraus will be conducting research in a highly collaborative manner involving graduate students and postdocs, thereby providing critical training for physicists in the early stages of their research careers. They also plan to disseminate the results of their research by presenting seminars, colloquia, and public lectures, including at high schools and summer schools. Additionally, they are involved in advancing education, outreach, and interdisciplinary collaboration.More specifically, the following problems will be addressed. Two-loop scattering amplitudes of strings will be studied and applied to the determination of low-energy effective interactions and to color-kinematics duality. Other aspects of string theory to be studied include a bootstrap approach and the worldsheet definition of the spacetime action. New asymptotically AdS solutions to supergravity theories will be constructed, with applications to the physics of defects, interfaces, and superconformal field theories. Further solutions relevant to foundational issues in quantum gravity and AdS/CFT, including wormholes and islands, will also be obtained. Finally, pure gravity with fixed metric boundary conditions on a finite surface will be developed; quantum observables to be computed include the energy spectrum and correlation functions of the boundary stress tensor, both of which will be compared against analogous results from conformal field theories deformed by an irrelevant operator.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.

该奖项资助加州大学洛杉矶分校埃里克·德霍克（Eric D'Hoker）、迈克尔·古特珀勒（Michael Gutperle）和佩尔·克劳斯（Per Kraus）教授的研究活动。量子场论（支配基本粒子定律）和爱因斯坦广义相对论（以时空曲率的形式表述引力）众所周知，可以准确描述从对撞物理到宇宙学的几乎所有观测到的物理现象。弦理论是将这些原理纳入统一框架的一个引人注目的框架，但尽管经过数十年的努力，弦理论的基本结构仍然知之甚少。据信，一个关键要素是全息原理，它将量子场论与更高维度的弦理论联系起来。 D'Hoker、Gutperle 和 Kraus 教授的研究旨在加深我们对弦理论的理解，并通过全息术发展其与量子场论的联系。他们的研究将应用于黑洞、凝聚态物质等不同的物理系统以及纯数学，从而通过进一步推动美国基础科学的进步来服务于国家利益。该项目还将产生更广泛的影响。 D'Hoker、Gutperle 和 Kraus 教授将以高度合作的方式进行研究，涉及研究生和博士后，从而为物理学家在研究生涯的早期阶段提供关键的培训。他们还计划通过举办研讨会、座谈会和公开讲座（包括在高中和暑期学校）来传播他们的研究成果。此外，他们还参与推进教育、推广和跨学科合作。更具体地说，将解决以下问题。将研究弦的双环散射振幅并将其应用于确定低能有效相互作用和颜色运动学对偶性。要研究的弦理论的其他方面包括引导方法和时空作用的世界表定义。将构建超重力理论的新渐近 AdS 解决方案，并将其应用于缺陷、界面和超共形场论物理学。还将获得与量子引力和 AdS/CFT 基础问题（包括虫洞和岛屿）相关的进一步解决方案。最后，将开发有限表面上具有固定度量边界条件的纯重力；要计算的量子可观测量包括边界应力张量的能谱和相关函数，这两者都将与由不相关算子变形的共形场论的类似结果进行比较。该奖项反映了 NSF 的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。