Conformal actions in any dimension

DOI10.1016/S0550-3213(99)00367-3zbMATH Open0951.83028arXivhep-th/9812099WikidataQ124983141 ScholiaQ124983141MaRDI QIDQ1572264

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Publication date: 12 July 2000

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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.

Full work available at URL: https://arxiv.org/abs/hep-th/9812099

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