On the Algebraic Structure of Gravity with Torsion including Weyl symmetry

O. Moritsch; M. Schweda

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arXiv · hep-th/9405133

On the Algebraic Structure of Gravity with Torsion including Weyl symmetry

O. Moritsch·M. Schweda

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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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O. Moritsch, M. Schweda. 1994-05-20. On the Algebraic Structure of Gravity with Torsion including Weyl symmetry. https://arxiv.org/abs/hep-th/9405133

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