Symplectic approach of three-dimensional Palatini theory plus a Chern-Simons term
type: Item
instance of: scholarly article
title: Symplectic approach of three-dimensional Palatini theory plus a Chern-Simons term
zbMATH Open document ID: 1432.83013
DOI: 10.1155/2018/3474760
author: Alberto Escalante
author: Prihel Cavildo-Sánchez
published in: Advances in Mathematical Physics
publication date: 2018-12-11T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 53D05
zbMATH DE Number: 6991948
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3474760
OpenAlex ID: W2795029947
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Wikidata QID: Q130109724
description: scientific article; zbMATH DE number 6991948