Skip to main content
SpringerLink
Log in

On the exchange matrix for WZNW model

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

The connection between the exchange algebra in theSU(2) Wess-Zumino Novikov-Witten model and the quantum groupSU(2) is discussed. It is shown that on the quasiclassical level this connection has the simple interpretation in terms of the Lie-Poisson action ofSU(2) on the chiral components of the fields in the WZNW model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Belavin, A., Polyakov, A., Zamolodchikov, A.: Nucl. Phys.B241, 333 (1984)

    Google Scholar 

  2. Alekseev, A., Shatashvili, S.: Nucl. Phys.B 323, 719 (1989)

    Google Scholar 

  3. Alekseev, A., Shatashvili, S.: LOMI preprint E-7-89

  4. Faddeev, L.: In: Recent Advances in field theory. Stora, R., Zuber, J.B. (eds.). Amsterdam: North-Holland 1984

    Google Scholar 

  5. Gervais, J.-L., Neveu, A.: Nucl. Phys.B 224, 329 (1983)

    Google Scholar 

  6. Gervais, J.-L., Neveu, A.: Nucl. Phys.B 238, 125 (1984)

    Google Scholar 

  7. Faddeev, J., Takhtajan, L.: Lecture Notes in Phys., vol. 246, p. 166. Berlin, Heidelberg, New York: Springer 1986

    Google Scholar 

  8. Gervais, J.-L.: preprint Ecole Normale LPTENS 89/14, 1989

  9. Witten, E.: Commun. Math. Phys.92, 455 (1984)

    Google Scholar 

  10. Babelon, O.: Phys. Lett.B 215, 523 (1988)

    Google Scholar 

  11. Block: preprint Tel-Aviv University, 1989

  12. Kirillov, A., Reshetikhin, N.: LOMI preprint E-9-88

  13. Moore, G., Seiberg, N.: preprint Rutgers University RU-89-32

  14. Moore, G., Reshetikhin, N.: Preprint Institute for Advanced Study IASSNS-HEP 89/18

  15. Reshetikhin, N., Smirnoff, F.: Preprint

  16. Volkov, A.: Zap. Nauch. Sem. LOMI151, 24 (1987) (to be translated in Sov. J. Math.)

    Google Scholar 

  17. Dashen, R., Hasslaher, B., Neveu, A.: Phys. Rev. D11, 3424 (1975)

    Google Scholar 

  18. Sklyanin, E., Takhtajan, L., Faddeev, L.: Theor. Math. Phys.40, 194 (1979)

    Google Scholar 

  19. Volkov, A.: Zap. Nauch. Sem. LOMI150, 17 (1986) (to be translated in Sov. J. Math.)

    Google Scholar 

  20. Smirnoff, F.: LOMI preprint E-4-89

Download references

Author information

Authors and Affiliations

  1. Steklov Mathematical Institute, Leningrad, USSR

    L. D. Faddeev

Authors
  1. L. D. Faddeev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by N. Yu. Reshetikhin

Dedicated to Res Jost and Arthur Wightman

Rights and permissions

Reprints and permissions

About this article

Cite this article

Faddeev, L.D. On the exchange matrix for WZNW model. Commun.Math. Phys. 132, 131–138 (1990). https://doi.org/10.1007/BF02278003

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02278003

Keywords

Search

Navigation