US-Ireland Cooperative Research: Classical Topology and Quantum Symmetries

该奖项将支持美国和 爱尔兰物理学家在经典拓扑学和量子对称性。 的 来自锡拉丘兹大学的美国调查人员是A. P. 作者声明：Dr.作者声明：Dr. 的 爱尔兰研究人员是L.奥莱费尔泰（都柏林 高级研究所），S。森（都柏林大学）和 C医生E.纳什（圣帕特里克学院，梅努斯）。 拓扑概念和对称性原理对 在理论物理学的许多分支中起着重要作用。 调查人员 将研究拓扑学的作用，以及它与量子力学的相互作用。 量子引力的力学和对称性原理，共形 场论（CFT）和磁单极子理论。 在 重力，他们将研究三个丰富的拓扑特征 维空间，相关量子理论的结构 及其对对称性原理的影响。 的性质 某些类似粒子的激发，称为geons，与 这些空间，也将被研究。 其他主题包括：1） 性质的对称群的基础CFT的和2）可能的 在量子水平上恢复某些对称性， 由于拓扑原因， 理论 两组均为U. S.爱尔兰物理学家参与了 该联合项目在拟议的主题方面具有广泛的专业知识 区

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.