Research in Novel Symmetries of Quantum Field Theory and String Theory

量子场论和弦理论的新对称性研究

• 批准号: 2310279
• 负责人: Nikita Nekrasov
• 金额: $ 10.5万
• 依托单位: SUNY at Stony Brook
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-08-01 至 2026-07-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2310279&HistoricalAwards=false
• 关键词: Research; Novel; Symmetries; Quantum; Field

This award funds the research activities of Professor Nikita Nekrasov at Stony Brook University. The research of Professor Nekrasov aims to improve our understanding of the Universe large and small by studying the laws governing the behavior of the building blocks of matter and their interactions at subnuclear distances. As part of this research, Professor Nekrasov will develop and use modern mathematical tools that permit exact calculations of the outcomes of physical processes. These tools are often referred to as "localization" techniques. Another line of research to be investigated concerns the connections between the dynamics of quasi-one-dimensional particle systems, such as quantum wires, and the low-energy states associated with elementary particles in our three dimensional space. This research advances the national interest by promoting the progress of science in one of its most fundamental directions: the discovery and understanding of new physical law. This is both exciting intellectually and interesting for the advancement of technology and security. This project is also envisioned to have significant broader impacts. Professor Nekrasov will involve graduate students and postdocs in his research, and thereby provide critical training for junior physicists beginning research in the field of elementary particle physics. They will also give public lectures on their research results and develop new course curricula based on the results of their research. More technically, Professor Nekrasov and his students will study extended observables in theories exhibiting a novel type of symmetry relating particles of different spin, with the goal of gaining insight into the behavior of the interactions believed to be responsible for the structure of nucleons and nuclei. They will also study models of statistical physics relevant for strongly coupled phenomena and the small-scale nature of space-time; low dimensional strongly correlated electron systems which are relevant for quantum information on the one hand and superconductivity on the other; and applications in mathematics.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.

该奖项资助石溪大学 Nikita Nekrasov 教授的研究活动。涅克拉索夫教授的研究旨在通过研究控制物质组成部分的行为及其在亚核距离相互作用的定律，提高我们对大大小小的宇宙的理解。 作为这项研究的一部分，涅克拉索夫教授将开发并使用现代数学工具来精确计算物理过程的结果。 这些工具通常被称为“本地化”技术。另一项要研究的研究涉及准一维粒子系统（例如量子线）的动力学与三维空间中基本粒子相关的低能态之间的联系。这项研究通过促进科学在其最基本方向之一的进步（发现和理解新物理定律）来促进国家利益。这不仅在智力上令人兴奋，而且对于技术和安全的进步也很有趣。该项目预计还将产生更广泛的影响。涅克拉索夫教授将让研究生和博士后参与他的研究，从而为开始基本粒子物理领域研究的初级物理学家提供关键培训。 他们还将就他们的研究成果进行公开讲座，并根据他们的研究成果开发新的课程。从技术上讲，涅克拉索夫教授和他的学生将研究理论中的扩展可观测量，这些理论展示了一种与不同自旋粒子相关的新型对称性，目的是深入了解被认为负责核子和原子核结构的相互作用的行为。 他们还将研究与强耦合现象和时空小尺度性质相关的统计物理模型；低维强相关电子系统，一方面与量子信息相关，另一方面与超导相关；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。