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Unitary representations of the Virasoro and super-Virasoro algebras |
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| Authors: | P. Goddard A. Kent D. Olive |
| Affiliation: | (1) Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, CB3 9EW Cambridge, UK;(2) Blackett Laboratory, Imperial College, SW7 2BZ London, UK;(3) Present address: Enrico Fermi Institute, University of Chicago, 60637 Chicago, IL, USA |
| 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. |
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