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Gauged WZW Models and the Coset Construction of Conformal Field Theories

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Differential Geometric Methods in Theoretical Physics

Part of the book series: NATO ASI Series ((NSSB,volume 245))

Abstract

The gauged Wess-Zumino-Witten models are shown to be conformal field theories providing field theoretic realizations for the Goddard-Kent- Olive coset construction G/H. In particular the conformai charge of the model coincides with the one obtained in the GKO construction. The physical spectrum of the gauged WZW model is analyzed in the BRST framework. We discuss how the physical states implement unitary representations of the coset Virasoro algebra. When H is the Cartan subalgebra of G the BRST invariant current operators (the physical currents) are shown to be the parafermionic currents.

Research supported by the U.S. Department of Energy under contract no.DE-AC02-76 ER03230

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Author information

Author notes

  1. Dimitra Karabali

    Present address: Physics Department, City College of New York, New York, N.Y., 10031, USA

Authors and Affiliations

  1. Department of Physics, Brandeis University, Waltham, MA, 02254, USA

    Dimitra Karabali

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  1. Dimitra Karabali
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Editor information

Editors and Affiliations

  1. University of California, Davis, Davis, California, USA

    Ling-Lie Chau  & Werner Nahm  & 

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Karabali, D. (1990). Gauged WZW Models and the Coset Construction of Conformal Field Theories. In: Chau, LL., Nahm, W. (eds) Differential Geometric Methods in Theoretical Physics. NATO ASI Series, vol 245. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9148-7_24

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  • DOI: https://doi.org/10.1007/978-1-4684-9148-7_24

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-9150-0

  • Online ISBN: 978-1-4684-9148-7

  • eBook Packages: Springer Book Archive

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