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Kaluza-Klein Theories as a Tool to Find New Gauge Symmetries

  • L. Dolan
Part of the Studies in the Natural Sciences book series (SNS, volume 20)

Abstract

Non-abelian Kaluza-Klein theories are studied with respect to using the invariances of multi-dimensional general relativity to investigate hidden symmetry, such as Kac-Moody Lie algebras, of the four-dimensional Yang-Mills theory. Several properties of the affine transformations on the self-dual set are identified and are used to motivate the Kaluza-Klein analysis. In this context, a system of differential equations is derived for new symmetry transformations which may be extendable to the full gauge theory.

Keywords

Gauge Theory Gauge Symmetry Symmetry Transformation Hide Symmetry Affine Connection 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Th. Kaluza, Sitzungsberichte der Preuss. Akad. Wiss. (1921) 966;Google Scholar
  2. O. Klein, Z. Phys. 37 (1926) 895.CrossRefGoogle Scholar
  3. Non-abelian KaluzaKlein theories, which are discussed in this talk, first appeared in B. DeWitt, in Lectures at 1963 Les Houches School, Relativity, Groups, and Topology, ed. B. DeWitt ( New York, Gordon and Breach, 1965 ) p. 725.Google Scholar
  4. See also Ref. 2 for a review of these.Google Scholar
  5. 2.
    A. Salam and J. Strathdee, Ann. of Phys. 141, 316 (1982).CrossRefGoogle Scholar
  6. 3.
    L. Dolan, Phys. Lett. B113, 387 (1982).Google Scholar
  7. 4.
    L. Dolan, in preparation.Google Scholar

Copyright information

© Plenum Press, New York 1985

Authors and Affiliations

  • L. Dolan
    • 1
  1. 1.Rockefeller UniversityNew YorkUSA

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