Hamiltonian dynamics and Faddeev–Jackiw formulation of 3D gravity with a Barbero–Immirzi like parameter
Alberto Escalante (0000 0001 2112 2750grid.411659.e, Instituto de Física, Universidad Autónoma de Puebla, Apartado Postal J-48, 72570, Puebla, Pue., Mexico); J. Manuel-Cabrera (0000 0001 2112 2750grid.411659.e, Instituto de Física, Universidad Autónoma de Puebla, Apartado Postal J-48, 72570, Puebla, Pue., Mexico)
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.
