Conformal Actions in Any Dimension

  title={Conformal Actions in Any Dimension},
  author={A. Wehner and J. Wheeler},
  journal={Nuclear Physics},
  • A. Wehner, J. Wheeler
  • Published 1998
  • Physics, Mathematics
  • Nuclear Physics
  • Biconformal gauging of the conformal group gives a scale-invariant volume form, permitting a single form of the action to be invariant in any dimension. We display several 2n-dim scale-invariant polynomial actions and a dual action. We solve the field equations for the most general action linear in the curvatures for a minimal torsion geometry. In any dimension n > 2, the solution is foliated by equivalent n-dim Ricci-flat Riemannian spacetimes, and the full 2n-dim space is symplectic. Two… CONTINUE READING
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