Gauge symmetry and constraints structure for topologically massive AdS gravity: a symplectic viewpoint

Gauge symmetry and constraints structure for topologically massive AdS gravity: a symplectic viewpoint

Abstract By applying the Faddeev–Jackiw symplectic approach we systematically show that both the local gauge symmetry and the constraint structure of topologically massive gravity with a cosmological constant $$\Lambda $$ Λ , elegantly encoded in the zero-modes of the symplectic matrix, can be ident...

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Main Authors: Omar Rodríguez-Tzompantzi, Alberto Escalante
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-5851-8
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spelling doaj-afb05dd694c541358a4e5e0b107dcfe52020-11-25T01:54:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-05-0178511210.1140/epjc/s10052-018-5851-8Gauge symmetry and constraints structure for topologically massive AdS gravity: a symplectic viewpointOmar Rodríguez-Tzompantzi0Alberto Escalante1Facultad de Ciencias Físico-Matemáticas, Benemérita Universidad Autónoma de PueblaInstituto de Física, Benemérita Universidad Autónoma de PueblaAbstract By applying the Faddeev–Jackiw symplectic approach we systematically show that both the local gauge symmetry and the constraint structure of topologically massive gravity with a cosmological constant $$\Lambda $$ Λ , elegantly encoded in the zero-modes of the symplectic matrix, can be identified. Thereafter, via a suitable partial gauge-fixing procedure, the time gauge, we calculate the quantization bracket structure (generalized Faddeev–Jackiw brackets) for the dynamic variables and confirm that the number of physical degrees of freedom is one. This approach provides an alternative to explore the dynamical content of massive gravity models.http://link.springer.com/article/10.1140/epjc/s10052-018-5851-8
collection DOAJ
language English
format Article
sources DOAJ
author Omar Rodríguez-Tzompantzi
Alberto Escalante
spellingShingle Omar Rodríguez-Tzompantzi
Alberto Escalante
Gauge symmetry and constraints structure for topologically massive AdS gravity: a symplectic viewpoint
European Physical Journal C: Particles and Fields
author_facet Omar Rodríguez-Tzompantzi
Alberto Escalante
author_sort Omar Rodríguez-Tzompantzi
title Gauge symmetry and constraints structure for topologically massive AdS gravity: a symplectic viewpoint
title_short Gauge symmetry and constraints structure for topologically massive AdS gravity: a symplectic viewpoint
title_full Gauge symmetry and constraints structure for topologically massive AdS gravity: a symplectic viewpoint
title_fullStr Gauge symmetry and constraints structure for topologically massive AdS gravity: a symplectic viewpoint
title_full_unstemmed Gauge symmetry and constraints structure for topologically massive AdS gravity: a symplectic viewpoint
title_sort gauge symmetry and constraints structure for topologically massive ads gravity: a symplectic viewpoint
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2018-05-01
description Abstract By applying the Faddeev–Jackiw symplectic approach we systematically show that both the local gauge symmetry and the constraint structure of topologically massive gravity with a cosmological constant $$\Lambda $$ Λ , elegantly encoded in the zero-modes of the symplectic matrix, can be identified. Thereafter, via a suitable partial gauge-fixing procedure, the time gauge, we calculate the quantization bracket structure (generalized Faddeev–Jackiw brackets) for the dynamic variables and confirm that the number of physical degrees of freedom is one. This approach provides an alternative to explore the dynamical content of massive gravity models.
url http://link.springer.com/article/10.1140/epjc/s10052-018-5851-8
work_keys_str_mv AT omarrodrigueztzompantzi gaugesymmetryandconstraintsstructurefortopologicallymassiveadsgravityasymplecticviewpoint
AT albertoescalante gaugesymmetryandconstraintsstructurefortopologicallymassiveadsgravityasymplecticviewpoint
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