Hamiltonian dynamics and Faddeev-Jackiw quantization of 3D gravity with a Barbero-Immirzi like parameter
arXiv:1511.07342
Abstract
A detailed Dirac's and Faddeev-Jackiw quantization 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's brackets coincide to each other. Finally we discuss some remarks and prospects.