arXivDaily arXiv每日学术速递 周一至周五更新
arXiv math/0303118math.QAhep-th
收藏

Twisted conjugacy classes, coadjoint orbits of loop groups and D-branes in the WZW-model

Stephan Mohrdieck, Robert Wendt

英文摘要:

We show that untwisted respectively twisted conjugacy classes of a compact and simply connected Lie group which satisfy a certain integrality condition correspond naturally to irreducible highest weight representations of the corresponding affine Lie algebra. Along the way, review the classification of twisted conjugacy classes of a simply connected compact Lie group $G$ and give a description of their stabilizers in terms of the Dynkin diagram of the corresponding twisted affine Lie algebra.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑