Kac-Moody and Virasoro algebras on the two-sphere and the two-torus
Abstract
We particularise the construction of generalised Kac-Moody algebras associated to compact real manifolds to the case of the two-torus T2 and the two-sphere S2. 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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.