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arXiv · hep-th/9812099

Conformal actions in any dimension

A. Wehner·J. T. Wheeler
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Abstract

Biconformal gauging of the conformal group has 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 fields defined entirely on the Riemannian submanifolds completely determine the solution: a metric, and a symmetric tensor.

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A. Wehner, J. T. Wheeler. 1999-05-13. Conformal actions in any dimension. https://doi.org/10.1016/s0550-3213(99)00367-3

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