On the Algebraic Structure of Gravity with Torsion including Weyl symmetry

Details On the Algebraic Structure of Gravity with Torsion including Weyl symmetry On the Algebraic Structure of Gravity with Torsion including Weyl symmetry

1994-05-20

arxiv.org/abs/hep-th/9405133v1

Helv.Phys.Acta 67 (1994) 289-344

Physics

High Energy Physics

High Energy Physics - Theory

55 pages, report REF. TUW 94-08

Scientific paper

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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