Skip to main content
Log in

Classical equationsdN i /dr=1/2 ijk [N j ,N k ]

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

Abstract

We study the first order system of equationsdN i /dr=1/2 ijk [N j ,N k ], where theN i are classical, “non-abelian” gauge-Higgs fields with spherical symmetry. Exact solutions are constructed.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ganoulis, N., Goddard, P., Olive, D.: Self-dual monopoles and Toda molecules. Nucl. Phys.B205, 601–636 (1982)

    Google Scholar 

  2. Leznov, A. N., Saveliev, M. V.: Representation theory and integration of nonlinear spherically symmetric equations to gauge theories. Commun. Math. Phys.74, 111–118 (1980)

    Google Scholar 

  3. Humphreys, J. E.: Introduction to Lie algebras and representation theory. New York, Heidelberg, Berlin: Springer 1972

    Google Scholar 

  4. Gelfand, I. M., Naimark, M. A.: Unitary representations of the classical groups. Am. Math. Soc. Transl. Ser. 1,9, (1957)

    Google Scholar 

  5. Helgason, S.: Differential geometry and symmetric spaces New York, London: Academic Press 1962

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Ya. G. Sinai

Supported by the Hellenic National Research Foundation

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ganoulis, N. Classical equationsdN i /dr=1/2 ijk [N j ,N k ]. Commun.Math. Phys. 90, 493–496 (1983). https://doi.org/10.1007/BF01216180

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01216180

Keywords

Navigation