Higher-Dimensional Generalizations of Affine Kac-Moody and Virasoro Conformal Lie Algebras

Kac-Moody group representations and gene

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

✍ Victor Aldaya; Jose Navarro-Salas 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 354 KB

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. W