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

Abstract

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.

arXiv comment27 pages, PDFLaTeX; Minor corrections, version accepted for publication in JHEP

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• Analysis of Hamiltonian formulations of linearized General Relativity
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• Dirac field in topologically massive gravity
• Poincare gauge theory from higher derivative matter lagrangean
• Hamiltonian analysis of symmetries in a massive theory of gravity
• Lagrangian generators of the Poincare gauge symmetries
• Geometry of Nonrelativistic string
• Effects of curvature and gravity from flat spacetime
• Lagrangian analysis of `trivial' symmetries in models of gravity