RUI: Field Theories and Holography

RUI：场论和全息术

• 批准号: 2310305
• 负责人: Sophia Domokos
• 金额: $ 13.5万
• 依托单位: New York Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard 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=2310305&HistoricalAwards=false
• 关键词: RUI; Field; Theories; Holography

This RUI award funds the research activities of Professor Sophia Domokos at the New York Institute of Technology. When swarms of tiny particles interact very forcefully and often, new phenomena emerge: electron seas conspire to let currents flow forever; and elementary particles called quarks and gluons clump together into the protons and neutrons at the center of every atom. Predicting what kind of structure emerges in such strongly interacting systems remains a fundamental mystery in physics. Its resolution will advance our understanding of a huge array of physical systems, from atomic nuclei to the cores of neutron stars and to the dense plasma present in the earliest moments of our universe. In her research, Professor Domokos will use a phenomenon which emerges within string theory and which is known as "holographic duality" to categorize and classify clumps of elementary particles (like protons and neutrons) that emerge in strongly interacting systems. Her work will not only help to understand these objects better, but it will also make predictions for new structures we have never seen before. Research in this area advances the national interest by pushing the frontier of our scientific understanding of strongly interacting systems, and by developing new mathematics to describe them. This project will also yield significant broader impacts. Professor Domokos will involve a diverse group of undergraduate students in her research activities, providing key research training for students from groups historically underrepresented in STEM, and helping to launch their scientific careers. Professor Domokos will also give undergraduate and general-audience lectures to foster public understanding of cutting-edge physics research, to spark a fascination with physics in a new generation of students, and to recruit new students to study physics at the undergraduate level.More technically, the proposed work expands holographic duality in two important directions. The first line of work addresses the critically important but challenging non-perturbative sector of the duality. Using a supersymmetric toy model will shed light on how non-trivial classical backgrounds enhance the spectrum of solitonic objects. It will also lead to new insights into recently identified systems of extended Bogomolny equations for monopoles. The second program pushes the boundaries of holographic models for hadron physics, enhancing the applicability of the correspondence to real-world problems, and providing a set of meaningful undergraduate projects. It will also generate novel techniques for pushing holographic models beyond commonly-used but severely limiting approximations, and will identify new effects --- such as the mixing of meson and glueball states --- that appear beyond this limit.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.

这项RUI奖为纽约理工学院的Sophia Domokos教授的研究活动提供了资金。当一群微小颗粒非常有力地相互作用时，新现象出现：电子海洋共同使电流永远流动； 和称为夸克和胶子的基本颗粒将每个原子中心的质子和中子汇合在一起。 预测这种强烈相互作用的系统中出现了什么样的结构仍然是物理学的基本谜团。 它的解决方案将提高我们对一系列物理系统的理解，从原子核到中子恒星的核心以及我们宇宙最早时刻的密集血浆。在她的研究中，多诺科斯教授将使用弦理论中出现的现象，被称为“全息二元性”来对强烈相互作用的系统中出现的基本颗粒（例如质子和中子）的团块进行分类和分类。她的工作不仅可以帮助更好地理解这些对象，而且还将对我们从未见过的新结构做出预测。该领域的研究通过推动我们对强烈互动系统的科学理解以及开发新数学来描述它们的领域来提高国家利益。该项目还将产生更广泛的影响。多诺科斯教授将与一群多样化的本科生一起参加她的研究活动，为STEM中人数不足的小组的学生提供重要的研究培训，并帮助启动其科学职业。多诺科斯教授还将提供本科生和一般性声明讲座，以增进公众对尖端物理学研究的理解，激发新一代学生中对物理的迷恋，并招募新学生在本科层面上研究物理学。从技术上讲，拟议的锻炼是在两个重要方向上扩展了全息含量。第一道工作涉及二元性的至关重要但具有挑战性的非扰动部门。使用超对称玩具模型将阐明非平凡的经典背景如何增强孤子对象的光谱。这还将导致对最近确定的单孔扩展型bogomolny方程系统的新见解。第二个程序推动了强子物理的全息模型的界限，增强了对应关系对现实世界问题的适用性，并提供了一套有意义的本科项目。它还将生成新的技术，以将全息模型推到常用但严重限制的近似值之外，并将确定新的效果 - 例如，在此限制之外的介子和粘合球状态的混合 - 此奖项反映了NSF的法规任务，这反映了NSF的法规任务，并被认为是通过基金会的知识优点和宽阔的范围来评估的，并且值得通过评估来进行评估。