Barbero-Immirzi connections and how to build them
arXiv:2010.07725 · doi:10.1016/j.geomphys.2021.104276
Abstract
We introduce a covariant formulation of Barbero-Immirzi connections, which are used in Loop Quantum Gravity to describe gravity. We show that Barbero-Immirzi connections can be uniquely defined out of a given spin connection for any -dimensional lorentzian manifold which is spin. A remarkable result is that the presence of a real Barbero-Immirzi parameter is a feature unique to the -dimensional case.
13 pages