On the Algebraic Structure of Gravity with Torsion including Weyl symmetry

1994/05/20 by O. Moritsch, M. Schweda
Physics and Astronomy · #hep-th

paper · pdf

published as Helv.Phys.Acta 67 (1994) 289-344 · 55 pages, report REF. TUW 94-08

arxiv created 1994/05/20 · arxiv updated 2009/11/30

Abstract

The BRST transformations for gravity with torsion including Weyl symmetry are discussed by using the so-called Maurer-Cartan horizontality conditions. Also the coupling of scalar matter fields to gravity is incorporated in this analysis. With the help of an operator \d which allows to decompose the exterior space-time derivative as a BRST commutator we solve the Wess-Zumino consistency condition corresponding to invariant Lagrangians and anomalies for the cases with and without Weyl symmetry.

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