Conformally Invariant Gauge Theory of 3-Branes in 6D and the Cosmological Constant

Abstract

It is shown that the gauge theory of relativistic 3-Branes can be formulated in a conformally invariant way if the embedding space is six-dimensional. The implementation of conformal invariance requires the use of a modified measure, independent of the metric in the action. Brane-world scenarios without the need of a cosmological constant in 6D are constructed. Thus, no ``old'' cosmological constant problem appears at this level.

12 pages, Latex, no figures; final version accepted for publication in Phys.Rev. D; Sect.II expanded

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• Warped Brane Worlds in Six Dimensional Supergravity
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