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. ((Intervento presentato al convegno Topological and Geometrical Methods in Field Theory tenutosi a Turku, Finland nel 8-14 June 1986 [10.1142/9789814537599].

Representations of Virasoro and Kac-Moody algebras: An Algebraic geometrical point of view

Reina, C.
1992

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.
Topological and geometrical methods in field theory : symposium in Espoo, Finland, june 8-14, 1986
1
468
978-981-02-0961-2
978-981-4537-59-9
http://www.worldscientific.com/doi/abs/10.1142/9789814537599
http://inspirehep.net/record/30777/
World Scientific
Reina, C.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/63354
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