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Twisted conjugacy classes, coadjoint orbits of loop groups and D-branes in the WZW-model | | Stephan Mohrdieck
; Robert Wendt
; | | Date: |
10 Mar 2003 | | Journal: | manuscripta math., 114, 531-547 (2004) | | Subject: | Quantum Algebra MSC-class: 22E46;22E67;81R10 | math.QA hep-th | | Abstract: | 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. | | Source: | arXiv, math.QA/0303118 | | Services: | Forum | Review | PDF | Favorites | |
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