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New Symmetry Principles in Quantum Field Theory pp 513–521Cite as

Fock Space Representations of A (1)1 and Topological Representations ofU q (sl 2)

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Part of the book series: NATO ASI Series ((NSSB,volume 295))

Abstract

We apply topological representations of U q (sl 2) to the Fock space representations of the untwisted affine Kac-Moody algebra A 1 (l). We show how singular vectors in quantum group Verma modules determine Fock space representations of BRST operators, primary fields, and conformal blocks.

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Author information

Authors and Affiliations

  1. Mathematik, ETH-Zentrum, CH-8092, Zürich, Switzerland

    G. Felder

  2. Institut für Theoretische Physik 1, WWU, D-4400, Münster, Germany

    C. Wieczerkowski

Authors
  1. G. Felder
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  2. C. Wieczerkowski
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Editor information

Editors and Affiliations

  1. ETH-Zürich, Zürich, Switzerland

    J. Fröhlich

  2. Institute for Theoretical Physics, Utrecht, The Netherlands

    G. ’t Hooft

  3. Harvard University, Cambridge, Massachusetts, USA

    A. Jaffe

  4. II Institut für Theoretische Physik, Hamburg, Germany

    G. Mack

  5. University of Paris VI, Paris, France

    P. K. Mitter

  6. Laboratory of Particle Physics, Annecy, Annecy-le-Vieux, France

    R. Stora

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© 1992 Springer Science+Business Media New York

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Felder, G., Wieczerkowski, C. (1992). Fock Space Representations of A (1)1 and Topological Representations ofU q (sl 2) . In: Fröhlich, J., ’t Hooft, G., Jaffe, A., Mack, G., Mitter, P.K., Stora, R. (eds) New Symmetry Principles in Quantum Field Theory. NATO ASI Series, vol 295. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3472-3_24

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  • DOI: https://doi.org/10.1007/978-1-4615-3472-3_24

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6538-9

  • Online ISBN: 978-1-4615-3472-3

  • eBook Packages: Springer Book Archive

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