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    • Gauging the conformal group

      E A Lord P Goswami

      Mathematical Physics Volume 25 Issue 6 December 1985 pp 635-640

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/025/06/0635-0640

    • Keywords

       

      Conformal group; gauge theories

    • Abstract

       

      It is demonstrated that Kibble’s method of gauging the Poincaré group can be applied to the gauging of the conformal group. The action of the gauge transformations is the action of general spacetime diffeomorphisms (or coordinate transformations) combined with a local action of an 11-parameter subgroup of SO(4,2). Because the translational subgroup is not an invariant subgroup of the conformal group the appropriate generalisation of the derivative of a physical field is not a covariant derivative in the usual sense, but this does not lead to any inconsistencies.

    • Author Affiliations

       

      E A Lord1 P Goswami2

      1. Department of Applied Mathematics, Indian Institute of Science, Bangalore - 560 012, India
      2. Department of Physics, Indian Institute of Science, Bangalore - 560 012, India

    • Dates

       
      Published
      December 1985
      Manuscript received
      5 June 1985
      Manuscript revised
      8 September 1985

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