BRST structure for the mixed Weyl-diffeomorphism residual symmetry

François Jordan (1, 2) , Thierry Masson (1, 2) , S. Lazzarini (1, 2)

1 CPT - Centre de Physique Théorique - UMR 7332
2 CPT - E2 Géométrie, Physique et Symétries

We sum up known results on the inclusion of diffeomorphisms in a gauge theory so as to obtain the BRST algebra of a Einstein-Yang-Mills theory. We then show the compatibility of this operation with the (so-called) dressing field method which allows a systematic reduction of gauge symmetries. The robustness of the so obtained scheme is illustrated on the geometry of General Relativity and on the richer example of the second-order conformal structure.

Mots clés: Cartan geometry; Dressing; BRS algebra; Conformal Geometry; Gauge Theory

Domaines: Physique mathématique [math-ph]

François Jordan, Thierry Masson, S. Lazzarini. BRST structure for the mixed Weyl-diffeomorphism residual symmetry. Journal of Mathematical Physics, 2016, 57 (3), pp.033504. ⟨10.1063/1.4943595⟩. ⟨hal-01196637⟩