, Volume 103, Issue 1, pp 105-119

Unitary representations of the Virasoro and super-Virasoro algebras

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Abstract

It is shown that a method previously given for constructing representations of the Virasoro algebra out of representations of affine Kac-Moody algebras yields the full discrete series of highest weight irreducible representations of the Virasoro algebra. The corresponding method for the super-Virasoro algebras (i.e. the Neveu-Schwarz and Ramond algebras) is described in detail and shown to yield the full discrete series of irreducible highest weight representations.

Communicated by A. Jaffe