# On the Faddeev-Jackiw Symplectic Framework for Topologically Massive Gravity

Alberto Escalante (Puebla U., Mexico), Omar Rodriguez-Tzompantzi (Puebla U., Mexico)

The dynamical structure of topologically massive gravity in the context of the Faddeev-Jackiw approach is studied. We present a detailed analysis of the constraints and we show that this formalism is equivalent and more economical than Dirac’s method. In particular, we identify the complete set of constraints of the theory, from which the number of physical degrees of freedom is explicitly computed. Furthermore, in order to obtain all the generalized Faddeev-Jackiw brackets an appropriate gauge-fixing procedure is introduced and we prove that the generalized Faddeev-Jackiw brackets and the Dirac ones coincide to each other. Finally, the similarities and advantages between Faddeev-Jackiw method and Dirac’s formalism are discussed.

 Subjects: High Energy Physics – Theory (hep-th); Mathematical Physics (math-ph) Cite as: arXiv:1601.04561 [hep-th] (or arXiv:1601.04561v1 [hep-th] for this version)

### Una respuesta a “HEM 2016: On the Faddeev-Jackiw Symplectic Framework for Topologically Massive Gravity”

1. J Lorenzo Diaz

“…from which the number of physical degrees of freedom is explicitly computed…” … I do not undestand it, and it may be trivial for the practicioners of quantum gravity, but should not the physical d.of f. be
given by the experiment?