Elementary Particle Theory

这个奖项是根据2009年美国复苏和再投资法案(公法111-5)资助的。这个项目的目标是加深对理论物理中几个当代突出问题的理解。这些问题起源于世界范围内关于超对称量子力学系统，特别是弦理论的深入研究。关于超弦理论和非对易几何的对称性的一大类重要问题将被研究。拟议的活动提出并探索了非常有创造性和原创性的概念，涉及：量子力学中的数学变形和非对易几何；超流形和超陪集空间上的朗道能级；准厄米量子系统；以及N-李代数，以及在共形场论和弦和膜的动力学中的新应用。原理研究人员认为这些都是重要的主题，可能会在几个物理系统中有新的应用。更广泛的影响如下：拟议的活动对于在其自身的基本粒子理论领域内以及跨不同领域促进知识和理解非常重要，因为使用量子理论进行定量计算和获得预测在粒子理论和所有其他物理科学中普遍存在。教授年轻学者是原理研究人员职业责任的组成部分，并与他们的研究计划和技术完全共生。这项工作将扩大和加强迈阿密大学正在开发的研究和教育人力资源基础设施。这些成果将在学术讨论会、互联网网页、互联网档案和印刷期刊上广泛传播，以增进该领域的科学和技术了解。

"This award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5)."The goal of this project is to further the understanding of several outstanding contemporary problems in theoretical physics. These problems have originated in worldwide intensive research related to supersymmetric quantum mechanical systems, in general, and to string theory, in particular. A large class of important problems concerning the symmetries of superstring theories and noncommutative geometry will be studied. The proposed activity suggests and explores very creative and original concepts, involving: mathematical deformations and non-commutative geometries in quantum mechanics; Landau levels on super-manifolds and super-coset spaces; quasi-hermitian quantum systems; and N-Lie algebras, with novel applications to conformal field theories and the dynamics of strings and branes. The principle investigators consider these to be important topics with possible novel applications to several physical systems. The broader impacts are as follows: The proposed activity is very important to advancing knowledge and understanding within its own field of elementary particle theory, as well as across different fields, since the use of quantum theory to carry out quantitative calculations, and obtain predictions, is ubiquitous in particle theory and all other physical sciences. Teaching young scholars is an integral part of the career responsibilities of the principle investigators, and is fully symbiotic with their research programs and techniques. The work will broaden and strengthen the developing human resource infrastructure for research and education at the University of Miami. The results will be disseminated broadly in colloquia and seminars, on internet web-pages, on internet archives, and in printed journals, to enhance scientific and technological understanding in its field.