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arXiv · hep-th/0301146

A covariant formalism for Chern-Simons gravity

A. Borowiec·M. Ferraris·M. Francaviglia
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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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A. Borowiec, M. Ferraris, M. Francaviglia. 2003-01-20. A covariant formalism for Chern-Simons gravity. https://doi.org/10.1088/0305-4470%2F36%2F10%2F318

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