Skip to main content
SpringerLink
Log in
Book cover

Group Theoretical Methods in Physics pp 314–327Cite as

Conformal reduction of WZNW theories and W-algebras

  • III. Symmetries of Equations and Fields
  • Conference paper
  • First Online:

  • 156 Accesses

Part of the book series: Lecture Notes in Physics ((LNP,volume 382))

Abstract

It is shown that Toda field theories can be regarded as reduced WZNW theories and that the reduction generalizes to yield families of conformal and non-conformal integrable field theories. The advantages of regarding the conformal theories as reduced WZNW theories are outlined, and include the natural appearance of two-dimensional gravity, the easy derivation of the general solutions from the standard WZNW solution, and, for the Toda theories, an intuitive understanding and relatively simple construction of the W-algebras.

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P. Goddard and D. Olive, Int. J. Mod.Phys. A1 (1986) 303.

    Google Scholar 

  2. A.N. Leznov and M.V. Savaliev, Comm. Math. Phys. 74 (1980) 111.

    Article  Google Scholar 

  3. J. Balog, L. Feher, P. Forgacz, L. O'Raifeartaigh and A.Wipf, Physics Lett. 8227 (1990) 214; B244 (1990) 435; Annals of Physics 202 (1990).

    Google Scholar 

  4. L. O'Raifeartaigh and A. Wipf, Preprint DIAS-STP-90-19, ETH-TH/90-20.

    Google Scholar 

  5. A. Polyakov, Mod. Phys. Lett. A2 (1987) 893.

    Google Scholar 

  6. A. Bilal and J-L. Gervais, Phys. Lett. 206B (1988) 412; Nucl. Phys. B314 (1989) 646; B318 (1989) 579; 0. Babelon, Phys. Lett. 215B (1988) 523.

    Google Scholar 

  7. A.B. Zamolodchikov, Theor. Math. Phys. 65 (1986) 1205; V.A. Fateev and A.B. Zamolodchikov, Nucl. Phys. B280 (1987) 644.

    Article  Google Scholar 

  8. V.A. Fateev and S.L. Lukyanov, Int. J. Mod. Phys. A3 (1988) 507; S.L. Lukyanov, Funct. Anal. Appl. 22(1989) 255, K. Yamagishi, Phys. Lett. 2058 (1988) 466; P. Mathieu, Phys. Lett. 208B (1988) 101; I Bakas, Phys. Lett. 213B (1988) 313.

    Google Scholar 

  9. M. Green, J. Schwarz and E. Witten, Superstring Theory, Cambridge University Press, 1987.

    Google Scholar 

  10. V. Drinfeld and V. Sokolov, J. Sov. Math. 30 (1984) 1975.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland

    L. O'Raifeartaigh

Authors
  1. L. O'Raifeartaigh
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Victor V. Dodonov Vladimir I. Man'ko

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag

About this paper

Cite this paper

O'Raifeartaigh, L. (1991). Conformal reduction of WZNW theories and W-algebras. In: Dodonov, V.V., Man'ko, V.I. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 382. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54040-7_125

Download citation

  • DOI: https://doi.org/10.1007/3-540-54040-7_125

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54040-3

  • Online ISBN: 978-3-540-47363-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation