International Journal of Pure and Applied Mathematics
We extend 2n-dim biconformal gauge theory by including Lorentz-scalar matter fields of arbitrary conformal weight. We show that 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.
Wehner, A. and Wheeler, J. T., Biconformal Matter Actions, International Journal of Pure and Applied Mathematics, Vol. 30, No. 2 (2006), 207-224.