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, issue 1

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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https://doi.org/10.1155/2018/3474760

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:3474760

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