On the Faddeev-Jackiw Symplectic Framework for Topologically Massive Gravity

Abstract

The dynamical structure of topologically massive gravity in the context of the Faddeev-Jackiw symplectic approach is studied. It is shown that this method allows to avoid some ambiguities arising in the study of the gauge structure via the Dirac formalism. In particular, the complete set of constraints and the gauge symmetry generators of the theory are obtained straightforwardly via the zero-modes of the symplectic matrix. In order to obtain the generalized Faddeev-Jackiw brackets and calculate the local physical degrees of freedom of this model, an appropriate gauge-fixing procedure is introduced. Finally, the similarities and advantages between Faddeev-Jackiw method and Dirac's formalism are briefly discussed.

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Cited by in corpus (4)

• Hamiltonian analysis of General Relativity and extended gravity from the iterative Faddeev-Jackiw symplectic approach
• Singular Lagrangians and the Faddeev-Jackiw Formalism in Classical Mechanics
• Symplectic realization of two interacting spin-two fields in three dimensions
• Constrained dynamics of two interacting relativistic particles in the Faddeev-Jackiw symplectic framework