Conformal actions in any dimension

Details Conformal actions in any dimension Conformal actions in any dimension

1998-12-11

arxiv.org/abs/hep-th/9812099v3

Nucl.Phys. B557 (1999) 380-406

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, now includes comparisons with other theories; one added reference

Scientific paper

10.1016/S0550-3213(99)00367-3

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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