A covariant formalism for Chern-Simons gravity
A. Borowiec, M. Ferraris, M. Francaviglia
TL;DR
This paper develops a new covariant and global formulation of Chern-Simons gravity using transgression formulas, enabling simpler calculations of energy-momentum and superpotentials in gauge and gravitational theories.
Contribution
It introduces a fully covariant, global Lagrangian for Chern-Simons gravity based on a bimetric structure, improving the analysis of conserved quantities.
Findings
Derived a covariant, global Lagrangian for Chern-Simons gravity.
Simplified the calculation of energy-momentum and superpotentials.
Applicable to both Yang-Mills and gravitational theories.
Abstract
Chern--Simons type Lagrangians in 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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