A covariant formalism for Chern-Simons gravity
A. Borowiec, M. Ferraris, M. Francaviglia
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.
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