A covariant formalism for Chern-Simons gravity

Details A covariant formalism for Chern-Simons gravity A covariant formalism for Chern-Simons gravity

2003-01-20

arxiv.org/abs/hep-th/0301146v1

J.Phys.A36:2589-2598,2003

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/0305-4470/36/10/318

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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