Research in Novel Symmetries of Quantum Field Theory and String Theory

该奖项资助斯托尼布鲁克大学尼基塔·涅克拉索夫教授的研究活动。Nekrasov教授的研究旨在通过研究控制物质构建块的行为及其在亚核距离上的相互作用的规律，提高我们对宇宙大小的理解。 作为这项研究的一部分，Nekrasov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。另一个要研究的领域是准一维粒子系统（如量子线）的动力学与三维空间中基本粒子的低能态之间的联系。这项研究通过促进科学在其最基本的方向之一的进步来促进国家利益：发现和理解新的物理定律。这既令人兴奋的智力和有趣的技术和安全的进步。预计该项目还将产生更广泛的重大影响。Nekrasov教授将在他的研究中涉及研究生和博士后，从而为初级物理学家开始在基本粒子物理学领域的研究提供关键的培训。 他们还将就其研究成果进行公开讲座，并根据其研究成果开发新的课程。从技术上讲，Nekrasov教授和他的学生将研究理论中的扩展观测量，这些理论展示了一种与不同自旋粒子相关的新型对称性，其目标是深入了解被认为是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的小尺度性质有关的统计物理模型;一方面与量子信息有关的低维强相关电子系统，另一方面与超导性有关;该奖项反映了NSF的法定使命，并被认为是值得通过评估使用基金会的智力价值和更广泛的支持。影响审查标准。

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.