O. Moritsch et M. Schweda, ON THE ALGEBRAIC STRUCTURE OF GRAVITY WITH TORSION INCLUDING WEYL SYMMETRY, Helvetica Physica Acta, 67(3), 1994, pp. 289-344
The BRST transformations for gravity with torsion including Weyl symme
try are discussed by using the so-called Maurer-Cartan horizontality c
onditions. Also the coupling of scalar matter fields to gravity is inc
orporated in this analysis. With the help of an operator delta which a
llows to decompose the exterior space-time derivative as a BRST commut
ator we solve the Wess-Zumino consistency condition corresponding to i
nvariant Lagrangians and anomalies for the cases with and without Weyl
symmetry.