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Hypergravity I

  • James P. Crawford
Conference paper

Abstract

This lecture will begin to explore a generalization of General Relativity which has a closer resemblance to gauge theory than standard gravity. The generalization is obtained by demanding an additional local symmetry of the theory. In particular, just as we have the freedom to locally choose any orthonormal basis in the tangent space, we should have the freedom to choose a local orthonormal basis of the spinor space. Changing to another spinor basis induces an automorphism transformation of the Clifford algebra generators; thus we are lead to a gauge theory based on local automorphism invariance. This requires the introduction of the Clifford connection (the automorphism gauge field), as well as the drehbeins (akin to the vierbeins) as additional dynamical variables.

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Bibliography

  1. [1]
    A.O. Barut and J. McEwan, Phys. Lett. B 135, 172 (1984).Google Scholar
  2. [2]
    J.S.R. Chisholm and R. Farwell, in Interface of Mathematics and Particle Physics (Oxford University Press, 1990).Google Scholar
  3. [3]
    J.P. Crawford, J. Math. Phys. 31, 1991 (1990).MathSciNetMATHCrossRefGoogle Scholar
  4. [4]
    J.P. Crawford, J. Math. Phys. 32, 576 (1991).MathSciNetMATHCrossRefGoogle Scholar
  5. [5]
    J.P. Crawford, J. Math. Phys. 35, 2701 (1994).MathSciNetMATHCrossRefGoogle Scholar
  6. [6]
    J.P. Crawford and A.O. Baxut, Phys. Rev. D 27, 2493 (1983).Google Scholar
  7. [7]
    Z. Dongpei, Phys. Rev. D 22, 2027 (1980).Google Scholar
  8. [8]
    L. Halpern, First Marcel Grossmann Meeting (North-Holland, 1977).Google Scholar
  9. [9]
    H.G. Loos and R.P. Treat, Phys. Lett. A 26, 91 (1967).Google Scholar
  10. [10]
    R.P. Treat, Phys. Rev. Lett. 12, 407 (1964).MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Birkhäuser Boston 1996

Authors and Affiliations

  • James P. Crawford
    • 1
  1. 1.Department of PhysicsPenn State - FayetteUniontownUSA

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