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

TL;DR

This paper develops a conformally invariant gauge theory for 3-branes in six dimensions, enabling brane-world models that do not require a cosmological constant, thus addressing the cosmological constant problem.

Contribution

It introduces a conformally invariant formulation of 3-brane gauge theory in 6D using a modified measure, avoiding the need for a cosmological constant in brane-world scenarios.

Findings

Conformal invariance achieved with a metric-independent measure.

Brane-world models constructed without a cosmological constant.

Addresses the old cosmological constant problem at the theoretical level.

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.