A covariant formalism for Chern-Simons gravity

Abstract

Chern--Simons type Lagrangians in $d=3$ dimensions are analyzed from the point of view of their covariance and globality. We use the transgression formula to find out a new fully covariant and global Lagrangian for Chern--Simons gravity: the price for establishing globality is hidden in a bimetric (or biconnection) structure. Such a formulation allows to calculate from a global and simpler viewpoint the energy-momentum complex and the superpotential both for Yang--Mills and gravitational examples.

12 pages,LaTeX, to appear in Journal of Physics A

References in corpus (1)

• Covariant Charges in Chern-Simons AdS_3 Gravity

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