IJPAM: Volume 30, No. 2 (2006)


Andre Wehner$^{1}$, James T. Wheeler$^{2}$
$^{1}$Centre College
600 W. Walnut St., Danville, KY 40422, USA
e-mail: wehner@centre.edu
$^{2}$Department of Physics
Utah State University
4415 Old Main Hill, Logan, UT 84322, USA
e-mails: jwheeler@cc.usu.edu, wheeler@alumni.uchicago.edu

Abstract.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.

Received: June 12, 2006

AMS Subject Classification: 53C15, 58Z05, 53C80, 83C99

Key Words and Phrases: conformal symmetry, gauge theory, scale invariance, actions

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 30
Issue: 2