Faddeev-Jackiw quantization of an Abelian and non-Abelian exotic action for gravity in three dimensions

2015/04/17 by Alberto Escalante, J. Manuel-Cabrera, Escalante, Alberto +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1504.04656

openalex publication_date 2015/04/17 · arxiv created 2015/06/23 · arxiv updated 2015/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A detailed Faddeev-Jackiw quantization of an Abelian and non-Abelian exotic action for gravity in three dimensions is performed. We obtain for the theories under study the constraints, the gauge transformations, the generalized Faddeev-Jackiw brackets and we perform the counting of physical degrees of freedom. In addition, we compare our results with those found in the literature where the canonical analysis is developed, in particular, we show that both the generalized Faddeev-Jackiw brackets and Dirac's brackets coincide to each other. Finally we discuss some remarks and prospects.

Citations

• Topologically massive gauge theories

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