Algebraic structure of Gravity with Torsion

Abstract

The BRS transformations for gravity with torsion are discussed by using the Maurer-Cartan horizontality conditions. With the help of an operator $\d$ which allows to decompose the exterior space-time derivative as a BRS commutator we solve the Wess-Zumino consistency condition corresponding to invariant Lagrangians and anomalies.

22 pages, report REF. TUW. 93-24

References in corpus (6)

• Geometric Classification of Conformal Anomalies in Arbitrary Dimensions
• Trace Anomalies from Quantum Mechanics
• Renormalization and finiteness of topological BF theories
• Algebraic characterization of the Wess-Zumino consistency conditions in gauge theories
• Avoiding degenerate coframes in an affine gauge approach to quantum gravity
• Supersymmetric Structure of the Bosonic String Theory in the Beltrami Parametrization

Cited by in corpus (15)

• f(T) teleparallel gravity and cosmology
• Two-dimensional gravitational anomalies, Schwinger terms and dispersion relations
• Yang-Mills gauge anomalies in the presence of gravity with torsion
• Universal Gibbons-Hawking-York term for theories with curvature, torsion and non-metricity
• Algebraic Characterization of Vector Supersymmetry in Topological Field Theories
• BRST-antifield-treatment of metric-affine gravity
• BRS Cohomology of Zero Curvature Systems I. The Complete Ladder Case
• Presymplectic AKSZ formulation of Einstein gravity
• Ghost Equations and Diffeomorphism Invariant Theories
• $L_{\infty }$-Algebras of Einstein-Cartan-Palatini Gravity
• Algebraic structure of gravity in Ashtekar variables
• Geometrodynamical description of two-dimensional electrodynamics
• Zero Curvature Formalism of the 4D Yang-Mills Theory in Superspace
• BRST Cohomology of the Superstring in Super-Beltrami Parametrization
• Algebraic characterization of gauge anomalies on a nontrivial bundle