U.S.-Brazil Cooperative Research on Physical Application of the Infinite Gauge Groups

该奖项支持场理论的合作研究 伊利诺伊大学的亨利克·阿拉丁博士 芝加哥和A. H.圣保罗州的齐默尔曼 巴西圣保罗的UNESP大学。 重要进展 在现代场论中， 模型具有大量对称性的情况。 这些 模型对于理解二维 有效重力以及非临界的相关问题 弦理论和共形场论。 对这种模型的理解的新进展似乎需要 几何方法在模型研究中的应用 无限维对称群 该方法 基于一个基本的几何概念， 与对称群相关联的物理上构成 相空间。 在这一框架内，调查人员 我将研究几种具有无限 尺寸规范组和分析的后果 量子力学中的巨大对称度 设置. 工作的主要部分将在 相互访问伊利诺伊大学芝加哥分校和 巴西，圣保罗。

This award supports cooperative research in field theory between Dr. Henrik Aratyn of the University of Illinois at Chicago and Dr. A. H. Zimerman of the Sao Paulo State University (UNESP) in Sao Paulo, Brazil. Important progress in modern field theory is presently being achieved in the case of models possessing huge amounts of symmetry. These models are important for understanding two-dimensional effective gravity as well as related issues of off-critical string theory and conformal field theories. New advances in understanding of such models seems to require application of geometrical methods to investigate models with infinite dimensional symmetry groups. The method is based on a fundamental geometrical idea that the orbits associated to the symmetry groups constitute a physically relevant phase space. In this framework the investigators will study several models which possess the infinite dimensional gauge groups and analyze the consequences of these huge degrees of symmetries in the quantum mechanical setting. The main part of the work will be performed during mutual visits to the University of Illinois at Chicago and to the Instituto de Fisica Teorica-UNESP, Sao Paulo, Brazil.