Fractional-level current algebras and the classification of characters

Mukhi, Sunil ; Panda, Sudhakar (1990) Fractional-level current algebras and the classification of characters Nuclear Physics - Section B: Particle Physics, Field Theory and Statistical Systems, Physical Mathematics, 338 (1). pp. 263-282. ISSN 0550-3213

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We point out some interesting relationships between the characters of non-unitary and unitary rational conformal field theories. For Â1 Kac-Moody algebras of fractional level m, the residues of the characters at the pole in z correspond to the Virasoro characters for the c<1 minimal models. The relationship between the Kac-Moody and Virasoro central charges is precisely that found by Knizhnik, Polyakov and Zamolodchikov in the context of two-dimensional gravity. The finite parts of the non-unitary Â1 characters are also closely related to other RCFT, and it is shown how they fit in to a scheme for classifying RCFT and representing their characters by Feigin-Fuchs contour integrals.

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ID Code:20841
Deposited On:20 Nov 2010 13:28
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