3.8 Article

A covariant formalism for Chern-Simons gravity

Journal

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume 36, Issue 10, Pages 2589-2598

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/36/10/318

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Chern-Simons type Lagrangians in d = 3 dimensions are analysed 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 us 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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