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Kac-Moody group representations and generalization of the Sugawara construction of the Virasoro algebra

✍ Scribed by Victor Aldaya; Jose Navarro-Salas

Publisher
Springer
Year
1988
Tongue
English
Weight
354 KB
Volume
16
Category
Article
ISSN
0377-9017

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✦ Synopsis

We dxscuss the dynamical structure of the semidirect product of the Virasoro and affine Kac-Moody groups within the framework of a group quantization formalism. This formalism provides a reahzation of the Virasoro algebra acting on Kac-Moody Fock states which generalizes the Sugawara construction. We also give an explicit construction of the standard Kac-Moody group representations associated with strings on SU(2) and recover, in particular, the 'renormalization' ~ factor of L(z)

πŸ“œ SIMILAR VOLUMES

Highest weight representations of Euclid
Highest weight representations of Euclidean Kac-Moody algebras spanned by the principal subalgebra action
✍ M. Ben Ammar; M. Selmi πŸ“‚ Article πŸ“… 1986 πŸ› Springer 🌐 English βš– 382 KB

The aim of this Letter is to characterize the representations of Euclidean KaY-Moody with highest weight, spanned by the principal subalgebra action on a highest-weight vector. We conjecture that, modulo the Dynkin diagram automorphisms, only the basic representations have this property. This is pr