IJPAM: Volume 30, No. 2 (2006)
BICONFORMAL MATTER ACTIONS
Andre Wehner
, James T. Wheeler
Centre College
600 W. Walnut St., Danville, KY 40422, USA
e-mail: wehner@centre.edu
Department of Physics
Utah State University
4415 Old Main Hill, Logan, UT 84322, USA
e-mails: jwheeler@cc.usu.edu, wheeler@alumni.uchicago.edu
, James T. Wheeler
Centre College
600 W. Walnut St., Danville, KY 40422, USA
e-mail: wehner@centre.edu
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 
-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 
-dim submanifold, with the stress-energy tensor of the scalar field as source. The matter field satisfies the -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
