English

A covariant formalism for Chern-Simons gravity

High Energy Physics - Theory 2008-11-26 v1 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

Chern--Simons type Lagrangians in d=3d=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.

Keywords

Cite

@article{arxiv.hep-th/0301146,
  title  = {A covariant formalism for Chern-Simons gravity},
  author = {A. Borowiec and M. Ferraris and M. Francaviglia},
  journal= {arXiv preprint arXiv:hep-th/0301146},
  year   = {2008}
}

Comments

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

R2 v1 2026-07-22T15:15:18.804Z