Actions for Biconformal Matter
We extend 2n-dim biconformal gauge theory by including Lorentz-scalar matter fields of arbitrary conformal weight. For a massless scalar field of conformal weight zero in a torsion-free biconformal geometry, the solution is determined by the Einstein equation on an n-dim submanifold, with the stress-energy tensor of the scalar field as source. The matter field satisfies the n-dim Klein-Gordon equation.
WehnerS, A. and Wheeler, J. T., Actions for Biconformal Matter, (Jan. 2000), 5 pp http://arxiv.org/pdf/hep-th/0001191