Elementary Particle Theory

该奖项资助了迈阿密大学的托马斯·柯特赖特教授和卢卡·梅津塞斯库教授的研究活动。这个项目涉及弦理论和量子场论的许多形式(数学)方面。具体地说，PI建议研究超弦理论的对称性、几何和拓扑。将研究的主题包括量子力学中的数学形变和非对易几何；标度和共形不变性以及在标度变化(重整化群)下真实系统的行为；以及Nambu代数及其在共形场论和弦和膜的动力学中的应用。预计这项工作还将产生一些更广泛的影响。拟议的研究活动将促进发现和理解，同时促进在一所主要研究型大学的学习。这项工作还将有助于加强迈阿密大学研究和教育的人力资源基础设施。最后，这项研究的结果将在座谈和研讨会、互联网网页、互联网档案和印刷期刊上广泛传播。

This award funds the research activities of Professors Thomas Curtright and Luca Mezincescu at the University of Miami. This project concerns a number of formal (mathematical) aspects of string theory and quantum field theory. Specifically, the PI's propose to examine the symmetries, geometry, and topology of superstring theories. Topics that will be investigated include mathematical deformations and non-commutative geometries in quantum mechanics; scale and conformal invariance and the behavior of real systems under changes in scale (renormalization group); and Nambu algebras and their applications to conformal field theories and the dynamics of strings and branes. This work is also envisioned to have a number of broader impacts. The proposed research activities will advance discovery and understanding while simultaneously promoting learning at a major research university. This work will also contribute to the enhancement of the human-resource infrastructure for research and education at the University of Miami. Finally, the results of this research will be disseminated broadly in colloquia and seminars, on internet web-pages, on internet archives, and in printed journals.