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arXiv · 1610.01646

Canonical and symplectic analysis for three dimensional gravity without dynamics

Alberto Escalante·H. H. Osmart Ochoa-Gutiérrez
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Abstract

In this paper a detailed Hamiltonian analysis of three-dimensional gravity without dynamics proposed by V. Hussain is performed. We report the complete structure of the constraints and the Dirac brackets are explicitly computed. In addition, the Faddeev-Jackiw symplectic approach is developed; we report the complete set of Faddeev-Jackiw constraints and the generalized brackets, then we show that the Dirac and the generalized Faddeev-Jackiw brackets coincide to each other. Finally, the similarities and advantages between Faddeev-Jackiw and Dirac's formalism are briefly discussed.

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Alberto Escalante, H. H. Osmart Ochoa-Gutiérrez. 2016-09-12. Canonical and symplectic analysis for three dimensional gravity without dynamics. https://doi.org/10.1016/j.aop.2017.01.029

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