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Free fermions and WZW theories on nonsimple groups

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Zeitschrift für Physik C Particles and Fields

Abstract

We consider conformally and Kac-Moody invariant theories based on the groupsG=G(N)×G(Ñ) whereG(N) is any of the classical groups. For the valuesk=Ñ,\(\tilde k = N\) of the Kac-Moody central charges, the monodromy problem involved in the computation of the four point function for primary fields in the defining representation ofG possesses two distinct solutions. As a consequence, the WZW theory onG (with an additionalU(1) factor ifG(N)=SU (N)) cannot be equivalent to a theory of free fermions.

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Authors and Affiliations

  1. Joseph Henry Laboratories, 08544, Princeton, NJ, USA

    J. Fuchs

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  1. J. Fuchs
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Supported by Deutsche Forschungsgemeinschaft; address after February 1, 1987: Institut für Theoretische Physik, D-6900 Heidelberg, FRG

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Fuchs, J. Free fermions and WZW theories on nonsimple groups. Z. Phys. C - Particles and Fields 35, 89–95 (1987). https://doi.org/10.1007/BF01561058

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  • DOI: https://doi.org/10.1007/BF01561058

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