Mathematical Sciences: Solvable Lattice Models in Statistical Mechanics

本研究项目将探讨 格点统计中的精确可解格点模型 力学与Kac-Moody Lie的表示理论 代数 长期目标是连接现在 理解精确可解模型与 一类Kac-Moody李代数的表示理论 的 当前的任务是研究具体的可解模型 以及它们与循环群的关系。 成功完成即时研究 该项目将加强可解决模型的方法， 物理学的统计力学方面。 这反过来将 从而更好地了解、利用和控制 技术应用中的材料和问题，以及 我们的日常生活

This research program will explore the connections between exactly solvable lattice models in lattice statistical mechanics and the representation theory of Kac-Moody Lie algebras. The long term goal is to connect the present understanding of exactly solvable models with that of the representation theory of certain Kac-Moody Lie algebra. The immediate task will be the study of specific solvable models and their relations to loop groups. Successful accomplishment of the immediate research project will enhance the methodology for solvable models in the statistical mechanics aspects of physics. This in turn will lead to a better understanding, utilization and control of materials and matters in technical applications as well as in our daily life.