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A covariant formalism for Chern-Simons gravity
classification
✦ hep-th
gr-qcmath-phmath.MP
keywords
chern--simonscovariantglobalglobalitygravityallowsanalyzedbiconnection
read the original 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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