U.S.-France Cooperative Research: Symmetries of String Theory and Higher Dimensional Integrable Systems

这一为期三年的奖项支持布朗大学的Antal Jevicki和巴黎第六大学理论高能物理实验室的Jean Avan在理论物理方面的美法合作研究。研究人员提议解决弦理论和量子引力方面的一系列问题。其目的是了解二维弦理论的对称性，并探索它与高维可积理论的关系。具体地说，研究涉及奇异矩阵模型、量子对称性、快子相互作用理论、拓扑场和w-无穷代数的性质，它贯穿于矩阵模型和拓扑场。这位美国研究人员将理论物理方面的专业知识带到了这次合作中。这一点得到了法国研究人员在数学物理方面的经验的补充。研究人员已经在弦理论和w-无穷大代数的性质的一些关键方面取得了进展。这个项目将使他们能够扩大他们的努力，并最终将他们的结果应用于黑洞物理学、早期宇宙学和超高能物理。

This three-year award supports U.S.-France cooperative research in Theoretical Physics between Antal Jevicki of Brown University and Jean Avan of the Laboratory for Theoretical High Energy Physics, University of Paris VI. The investigators propose to solve a series of problems in string theory and quantum gravity. The objectives are to understand the symmetries of two dimensional string theory and explore its relationship to higher dimensional integrable theories. Specifically the research involves exotic matrix models, quantum symmetries, interacting theory of tachyons, topological fields and the nature of w- infinity algebra, which appears throughout matrix models and topological fields. The U.S. investigator brings to this collaboration expertise in theoretical physics. This is complemented by the French investigators experience in mathematical physics. The investigators have already progressed on some key aspects of string theory and the nature of w-infinity algebra. This project will enable them to expand their efforts and ultimately apply their results to the physics of black holes, early cosmology, and ultra high energy physics.