BRST structure for the mixed Weyl-diffeomorphism residual symmetry

Abstract

In this paper, we show the compatibility of the so-called "dressing field method", which allows a systematic reduction of gauge symmetries, with the inclusion of diffeomorphisms in the BRST algebra of a gauge theory. The robustness of the scheme is illustrated on two examples where Cartan connections play a significant role. The former is General Relativity, while the latter concerns the second-order conformal structure where one ends up with a BRST algebra handling both the Weyl residual symmetry and diffeomorphisms of spacetime. We thereby provide a geometric counterpart to the BRST cohomological treatment used in~\cite{Boulanger1} in the construction of a Weyl covariant tensor calculus.

23 pages, 3 figures

References in corpus (6)

• Algebraic Classification of Weyl Anomalies in Arbitrary Dimensions
• General solutions of the Wess-Zumino consistency condition for the Weyl anomalies
• Gauge invariant composite fields out of connections, with examples
• Nucleon spin decomposition and differential geometry
• Residual Weyl symmetry out of conformal geometry and its BRS structure
• Polyakov soldering and second order frames : the role of the Cartan connection

Cited by in corpus (9)

• The dressing field method of gauge symmetry reduction, a review with examples
• Tractors and Twistors from conformal Cartan geometry: a gauge theoretic approach I. Tractors
• Tractors and Twistors from conformal Cartan geometry: a gauge theoretic approach II. Twistors
• The Schouten tensor as a connection in the unfolding of 3D conformal higher-spin fields
• Unfolding Conformal Geometry
• BRST Cohomology is Lie Algebroid Cohomology
• Unconventional Supersymmetry via the Dressing Field Method
• Relational Supersymmetry via the Dressing Field Method and Matter-Interaction Supergeometric Framework
• Mechanics as a general-relativistic gauge field theory, and Relational Quantization