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.
A covariant formalism for Chern-Simons gravity
FERRARIS, Marco;FRANCAVIGLIA, Mauro
2003-01-01
Abstract
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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