Positive Energy Representations of the Loop Groups of Non Simply Connected Lie Groups

Abstract

We classify and construct all irreducible positive energy representations of the loop group of a compact, connected and simple Lie group and show that they admit an intertwining action of Diff(S^{1}).

Available from Springer Verlag at http://link.springer.de/

Cited by in corpus (12)

• Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories
• Gerbes on complex reductive Lie groups
• Fusion of symmetric $D$-branes and Verlinde rings
• Pre-quantization of the Moduli Space of Flat G-Bundles over a Surface
• Tensor categories: A selective guided tour
• Ground state representations of loop algebras
• Third Group Cohomology and Gerbes over Lie Groups
• Semibounded representations and invariant cones in infinite dimensional Lie algebras
• Basic equivariant gerbes on non-simply connected compact simple Lie groups
• Loop groups and noncommutative geometry
• Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms
• Classification of Module Categories for $SO(3{)}_{2m}$