Residual Weyl symmetry out of conformal geometry and its BRS structure
arXiv:1504.08297 · doi:10.1007/JHEP09(2015)195
Abstract
The conformal structure of second order in -dimensions together with the so-called (normal) conformal Cartan connection, is considered as a framework for gauge theories. The dressing field scheme presented in a previous work amounts to a decoupling of both the inversion and the Lorentz symmetries such that the residual gauge symmetry is the Weyl symmetry. On the one hand, it provides straightforwardly the Riemannian parametrization of the normal conformal Cartan connection and its curvature. On the other hand, it also provides the finite transformation laws under the Weyl rescaling of the various geometric objects involved. Subsequently, the dressing field method is shown to fit the BRS differential algebra treatment of infinitesimal gauge symmetry. The dressed ghost field encoding the residual Weyl symmetry is presented. The related so-called algebraic connection supplies relevant combinations found in the literature in the algebraic study of the Weyl anomaly.
25 pages, minor correction in the text
References in corpus (5)
- Tractors, Mass and Weyl Invariance
- 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
- Polyakov soldering and second order frames : the role of the Cartan connection
Cited by in corpus (7)
- The dressing field method of gauge symmetry reduction, a review with examples
- Weyl gravity and Cartan geometry
- 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
- BRST structure for the mixed Weyl-diffeomorphism residual symmetry
- Relational Supersymmetry via the Dressing Field Method and Matter-Interaction Supergeometric Framework
- Conformal and projective tractors from 2-frame bundles by the dressing field method