Symplectic Approach of Three-Dimensional Palatini Theory Plus a Chern-Simons Term

Alberto Escalante and Prihel Cavildo-Sánchez

Advances in Mathematical Physics, 2018, vol. 2018, 1-7

Abstract:

Using the symplectic framework of Faddeev-Jackiw, the three-dimensional Palatini theory plus a Chern-Simons term [P-CS] is analyzed. We report the complete set of Faddeev-Jackiw constraints and we identify the corresponding generalized Faddeev-Jackiw brackets. With these results, we show that although P-CS produces Einstein’s equations, the generalized brackets depend on a Barbero-Immirzi-like parameter. In addition, we compare our results with those found in the canonical analysis showing that both formalisms lead to the same results.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:3474760

DOI: 10.1155/2018/3474760

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