论文标题
关于循环组不变措施的注释
Notes on invariant measures for loop groups
论文作者
论文摘要
让K表示一个简单连接的紧凑型谎言组，让G表示其复杂化。众所周知，在复杂环组LG的自然完成时，存在LK-BIINVARIANT概率度量。据信，存在重视正线束的变形，并重现LK的（投影）正能表示的统一结构。这些是我对这些措施进行的补充讲座的说明，解释了有关这些措施的表征，计算方式以及它们如何对制定量子Sigma模型的潜在有用的许多猜想。
Let K denote a simply connected compact Lie group and let G denote its complexification. It is known that there exists an LK-biinvariant probability measure on a natural completion of the complex loop group LG. It is believed that there exist deformations which are positive line bundle valued and reproduce the unitary structure for (projective) positive energy representations of LK. These are notes which supplement lectures I have given on these measures, explaining a number of conjectures concerning how these measures are characterized, how they are computed, and how they are potentially useful for formulating quantum sigma models.
