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Journal of High Energy Physics

, 2015:195 | Cite as

Residual Weyl symmetry out of conformal geometry and its BRST structure

  • J. François
  • S. Lazzarini
  • T. Masson
Open Access
Regular Article - Theoretical Physics

Abstract

The conformal structure of second order in m-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 BRST 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.

Keywords

Gauge Symmetry Differential and Algebraic Geometry Conformal and W Symmetry BRST Symmetry 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2015

Authors and Affiliations

  1. 1.Centre de Physique Théorique, Aix Marseille Université & Université de Toulon & CNRS UMR 7332MarseilleFrance

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