CONFORMAL INVARIANCE IN EINSTEIN–CARTAN–WEYL SPACE

TAEYOON MOON, JOOHAN LEE, PHILLIAL OH
2010 Modern Physics Letters A  
We consider conformally invariant form of the actions in Einstein, Weyl, Einstein-Cartan and Einstein-Cartan-Weyl space in general dimensions(>2) and investigate the relations among them. In Weyl space, the observational consistency condition for the vector field determining non-metricity of the connection can be obtained from the equation of motion. In Einstein-Cartan space a similar role is played by the vector part of the torsion tensor. We consider the case where the trace part of the
more » ... n is the Kalb-Ramond type of field. In this case, we express conformally invariant action in terms of two scalar fields of conformal weight -1, which can be cast into some interesting form. We discuss some applications of the result.
doi:10.1142/s0217732310034201 fatcat:a3doamtr75gn3as6iwmwodhu7y