Some aspects of conformal field theory over Riemann surfaces are examined. We study, in particular, on simple systems (b-c systems) the relation between representations of the Virasoro and the KN algebras. KN algebra representations decompose into an infinite sum of the Virasoro algebra representations. We argue that the KN algebra representations are the right tool in order to classify conformal field theories over higher genus Riemann surfaces.
RELATION BETWEEN REPRESENTATIONS OF K-N AND VIRASORO ALGEBRAS
MATONE, MARCO;
1989
Abstract
Some aspects of conformal field theory over Riemann surfaces are examined. We study, in particular, on simple systems (b-c systems) the relation between representations of the Virasoro and the KN algebras. KN algebra representations decompose into an infinite sum of the Virasoro algebra representations. We argue that the KN algebra representations are the right tool in order to classify conformal field theories over higher genus Riemann surfaces.File in questo prodotto:
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