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Conformal Theories Including Conformal Gravity as Gauge Theories on the Hypercone by Arvidsson, Par; Marnelius, Robert is a scholarly article available to read on EtoBox.

What is Conformal Theories Including Conformal Gravity as Gauge Theories on the Hypercone about?

Conformal theories in a d dimensional spacetime may be expressed as manifestly conformal theories in a d+2 dimensional conformal space as first proposed by Dirac. The reduction to d dimensions goes via the d+1 dimensional hypercone in the conformal space. Here we give a rather extensive expose of such theories. We review and extend the theory of spinning conformal particles. We give a precise and geometrical formulation of manifestly conformal fields for which we give a consistent action principle. The requirement of invariance under special gauge transformations off the hypercone plays a fundamental role here. Maxwell's theory and linear conformal gravity are derived in the conformal space and are treated in detail. Finally, we propose a consistent coordinate invariant action principle in the conformal space and give an action that should correspond to conformal gravity.

Author

Arvidsson, Par; Marnelius, Robert

Published

2006

Language

EN