Eur. Phys. J. C (2017) 77: 303
https://doi.org/10.1140/epjc/s10052-017-4862-1

Regular Article - Theoretical Physics

Hamiltonian dynamics and Faddeev–Jackiw formulation of 3D gravity with a Barbero–Immirzi like parameter

Instituto de Física, Universidad Autónoma de Puebla, Apartado Postal J-48, 72570, Puebla, Pue., Mexico

^* e-mail: aescalan@ifuap.buap.mx

Received: 8 November 2016
Accepted: 27 April 2017
Published online: 12 May 2017

Abstract

A detailed Dirac and Faddeev–Jackiw formulation of Bonzom–Livine model describing gravity in three dimensions is performed. The full structure of the constraints, the gauge transformations and the generalized Faddeev–Jackiw brackets are found. In addition, we show that the Faddeev–Jackiw and Dirac brackets coincide.