We briefly recall what is kown as to the relations between representation theory of Virasoro and Kac-Moody algebras and the geometry of algebraic objects on suitable moduli spaces. Besides recalling the case of b-c-systems, we work out a geometric set up for the abelian Sugawara construction. A full understanding of the non abelian case requires more work on the side of geometrical representation theory.
Representations of Virasoro and Kac-Moody algebras: An Algebraic geometrical point of view / Reina, C.. - (1992), pp. 1-468. ( Topological and Geometrical Methods in Field Theory Turku, Finland 8-14 June 1986) [10.1142/9789814537599].
Representations of Virasoro and Kac-Moody algebras: An Algebraic geometrical point of view
Reina, C.
1992-01-01
Abstract
We briefly recall what is kown as to the relations between representation theory of Virasoro and Kac-Moody algebras and the geometry of algebraic objects on suitable moduli spaces. Besides recalling the case of b-c-systems, we work out a geometric set up for the abelian Sugawara construction. A full understanding of the non abelian case requires more work on the side of geometrical representation theory.File in questo prodotto:
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