Particle and Quantum Field Theory Investigations

粒子和量子场论研究

基本信息

批准号：
2210349
负责人：
Massimo Porrati
金额：
$ 87万
依托单位：
New York University
依托单位国家：
美国
项目类别：
Continuing 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=2210349&HistoricalAwards=false
关键词：
Particle Quantum Field Theory Investigations

项目摘要

This award funds the research activities of Professors S. Dubovskiy, G. Gabadadze, and M. Porrati at New York University. The research to be pursued under this grant aims at answering some of the truly fundamental questions in physics. How can we best determine the fundamental constants of nature? What is the correct theory of gravity? Does gravity behave differently over cosmic scales than over the shorter distances we encounter within our solar system? How is the evolution of the universe constrained by modern theories that attempt to unify the physics of the very small with the physics of the very large, such as string theory or quantum gravity? What can we learn by studying the fact that the universe is experiencing an accelerated expansion? Can gravitational theories that are consistent with quantum mechanics be solved mathematically in simple "toy model" settings? As such, research in this field advances the national interest by furthering our understanding of fundamental science in the United States. In this project, the PIs will work towards answering these questions both in parallel and in collaboration, involving postdocs and graduate students throughout the research process. They will also give public lectures and lecture in schools for diverse audiences ranging from research scientists to high-school students. More technically, Dubovskiy will continue the study of certain integrable deformations of two-dimensional field theory and their relations to quantum gravity. He plans to explore the high-energy asymptotic limit of the worldsheet theory of a single long string, and the emerging integrability in this regime. He will also study a new approximate symmetry of black-hole perturbations, which was identified in one of his recent works. This symmetry provides an explanation for surprising properties of black-hole tidal responses (``Love numbers"). Gabadadze proposes to investigate holographic dual theories for massive five-dimensional gravitational theories and their applications to cosmology and black-hole physics as well as study an effective field theory of gravity, its domain of consistency, and its applications to cosmology. He will also study the effects of wormholes in beyond-Einstein theories of gravity as well as the consequences of these effects for rotating black-hole solutions and for their superradiance. Porrati plans to understand diverse aspects of quantum gravity. He plans to compute partition functions of three-dimensional topological theories on spaces with high-genus boundaries and use recent advances in string theory on highly-curved spaces for understanding their holographic dual at the string-black hole transition point. He also plans to study how electric-magnetic duality combines with infinite-dimensional asymptotic algebras, and he will investigate certain recently discovered novel types of supergravity theories and use them to find effective theories with realistic features. Finally, he will investigate other aspects of supergravity and collaborate with Prof. Dubovskiy to study certain deformations of two-dimensional conformal field theories.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S. Dubovskiy，G。Gabadadze和M. Porrati教授的研究活动提供了资金。这项赠款将进行的研究旨在回答物理学中一些真正的基本问题。我们如何最好地确定自然的基本常数？正确的重力理论是什么？在宇宙尺度上，重力的行为与我们在太阳系中遇到的较短距离上的行为是否不同？宇宙的演变如何受到现代理论的限制，这些理论试图将非常小的物理学与非常大的物理学（例如弦理论或量子重力）统一的物理学统一？通过研究宇宙正在加速扩张的事实，我们可以学到什么？可以在简单的“玩具模型”设置中数学上解决与量子力学一致的重力理论吗？因此，该领域的研究通过进一步了解美国的基本科学来提高国家利益。在这个项目中，PI将努力在整个研究过程中并行和协作回答这些问题，涉及博士后和研究生。他们还将在学校为从研究科学家到高中生的不同受众提供公开讲座和演讲。从技术上讲，杜博夫斯基将继续研究二维场理论的某些可整合变形及其与量子重力的关系。他计划探索单个长字符串世界表理论的高能渐近限制，以及在该政权中的新兴一致性。他还将研究黑洞扰动的新的近似对称性，这在他最近的一部作品中得到了识别。这种对称性为黑洞潮汐反应的令人惊讶的特性提供了解释（``爱情数字'）。加巴达兹建议研究大规模五维引力理论的全息偶性双重理论及其对宇宙学和黑洞物理学的应用以及他们的应用一个有效的野外重力理论，其一致性领域及其在宇宙学上的应用。超级统治计划了解量子重力的各个方面。他还计划研究电磁二元性与无限差异代数的结合，他将研究某些最近发现的新型超级强制理论，并使用它们来找到具有现实特征的有效理论。最后，他将调查超级重力的其他方面，并与杜波夫斯基教授合作研究二维形成条件理论的某些变形。该奖项反映了NSF的法定任务，并被认为是值得通过基金会的知识分子和更广泛的影响来通过评估来支持的。审查标准。