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尼基塔·内克拉索夫教授的研究活动。内克拉索夫教授的研究旨在通过研究物质构成块的行为规律及其在亚核距离下的相互作用，来提高我们对宇宙大大小小的理解。作为这项研究的一部分，内克拉索夫教授将开发和使用现代数学工具，允许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。另一项有待研究的领域涉及准一维粒子系统(如量子线)的动力学与我们三维空间中与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进步最基本的方向之一--发现和理解新的物理定律--来促进国家利益。对于技术和安全的进步来说，这在智力上是令人兴奋的，也是有趣的。预计该项目还将产生更广泛的重大影响。Nekrasov教授将让研究生和博士后参与他的研究，从而为开始研究基本粒子物理领域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，并根据他们的研究结果制定新的课程课程。从技术上讲，涅克拉索夫教授和他的学生将在展示一种新型对称性的理论中研究扩展的可观察性，这种对称性将不同自旋的粒子联系在一起，目的是深入了解据信对核子和原子核结构负责的相互作用的行为。他们还将研究与强耦合现象和时空的小尺度性质相关的统计物理模型；一方面与量子信息和超导相关的低维强关联电子系统；以及在数学中的应用。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。