US-Ireland Cooperative Research: Classical Topology and Quantum Symmetries

美国-爱尔兰合作研究：经典拓扑和量子对称性

• 批准号: 8814944
• 负责人: A. Balachandran
• 金额: $ 1.63万
• 依托单位: Syracuse University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-02-01 至 1992-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8814944&HistoricalAwards=false
• 关键词: US; Ireland; Cooperative; Research; Classical

This award will support collaborative research between U.S. and Irish physicists on classical topology and quantum symmetries. The U.S. investigators, all from Syracuse University, are Dr. A. P. Balachandran, Dr. Rafael D. Sorkin and Dr. William McGlinn. The Irish investigators are Professor L. O'Raifeartaigh (Dublin Institute for Advanced Studies), Dr. S. Sen (Dublin University) and Dr. C. E. Nash (St. Patrick's College, Maynooth). Topological concepts and symmetry principles play a significant role in many branches of theoretical physics. The investigators will study the role of topology, and its interplay with quantum mechanics and symmetry principles in quantum gravity, conformal field theories (CFT's) and the theory of magnetic monopoles. In gravity, they will examine the rich topological features of three dimensional spaces, the structure of associated quantum theories and its influence on symmetry principles. The properties of certain particle-like excitations called geons, associated with these spaces, will also be studied. Other topics include: 1) the properties of symmetry groups underlying CFT's and 2) the possible restoration of certain symmetries at the quantum level, which classically are "broken" for topological reasons in monopole theories. Both groups of U. S. and Irish physicists involved in this joint project have extensive expertise in the proposed subject area.

该奖项将支持美国和爱尔兰物理学家在经典拓扑和量子对称性方面的合作研究。 美国调查人员均来自雪城大学，包括 A. P. Balachandran 博士、Rafael D. Sorkin 博士和 William McGlinn 博士。 爱尔兰研究人员包括 L. O'Raifeartaigh 教授（都柏林高等研究院）、S. Sen 博士（都柏林大学）和 C. E. Nash 博士（梅努斯圣帕特里克学院）。 拓扑概念和对称原理在理论物理学的许多分支中发挥着重要作用。 研究人员将研究拓扑的作用及其与量子力学和量子引力中的对称原理、共形场论（CFT）和磁单极子理论的相互作用。 在引力方面，他们将研究三维空间丰富的拓扑特征、相关量子理论的结构及其对对称原理的影响。 与这些空间相关的某些称为几何子的类粒子激发的特性也将被研究。 其他主题包括：1）CFT 背后的对称群的性质，以及 2）在量子水平上可能恢复某些对称性，这些对称性在单极子理论中通常由于拓扑原因而被“破坏”。 参与该联合项目的美国和爱尔兰物理学家小组在拟议的学科领域拥有广泛的专业知识。