Rutwig Campoamor-Stursberg, Michel Rausch de Traubenberg
Published 2024-06-15Version 1
We particularise the construction of generalised Kac-Moody algebras associated to compact real manifolds to the case of the two-torus $\mathbb T_2$ and the two-sphere ${\mathbb S}^2$. It is shown that these algebras, as well as a Virasoro algebra associated to the two-torus and the two-sphere, can also be derived considering the usual Kac-Moody and Virasoro algebras.
Comments: 10 pages, to appear in the Proceedings of the 15-th International Workshop "Lie Theory and Its Applications in Physics" (LT-15), 19-25 June 2023, Varna, Bulgaria
Vertex operator for generalised Kac--Moody algebras associated to the two-sphere and the two-torus
Fermion realisations of generalised Kac--Moody and Virasoro algebras associated to the two-sphere and the two-torus
From the Conformal Anomaly to the Virasoro Algebra
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