Symmetries of topological gravity with torsion in the hamiltonian and lagrangian formalisms

Details Symmetries of topological gravity with torsion in the hamiltonian and lagrangian formalisms Symmetries of topological gravity with torsion in the hamiltonian and lagrangian formalisms

2009-12-08

arxiv.org/abs/0912.1472v2

JHEP 1002:075,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, PDFLaTeX; Minor corrections, version accepted for publication in JHEP

Scientific paper

10.1007/JHEP02(2010)075

A systematic analysis of the symmetries of topological 3D gravity with torsion and a cosmological term, in the first order formalism, has been performed in details - both in the hamiltonian and lagrangian formalisms. This illuminates the connection between the symmetries of curved spacetime (diffeomorphisms plus local Lorentz transformations) with the Poincare gauge transformations. The Poincare gauge symmetries of the action are shown to be inequivalent to its gauge symmetries. Finally, the complete analysis is compared with the metric formulation where the diffeomorphism symmetry is shown to be equivalent to the gauge symmetry.

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