All Physics Faculty Publications

Document Type

Article

Journal/Book Title/Conference

Nuclear Physics B

Volume

557

Issue

1-2

Publication Date

9-20-1999

First Page

380

Last Page

406

DOI

10.1016/S0550-3213(99)00367-3

Arxiv Identifier

arXiv:hep-th/9812099v3

Abstract

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-dimensional 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-dimensional Ricci-flat Riemannian space-times, and the full 2n-dimensional space is symplectic. Two fields defined entirely on the Riemannian submanifolds completely determine the solution: a metric eμα, and a symmetric tensor kμν.

Comments

Published by Elsevier in Nuclear Physics B. Author preprint is deposited in arXiv.org and is available for download through link above.

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