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.
1992-01-01

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.
1992
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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/63354
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 0
social impact