Hidden diffeos in the Hamiltonian formulation of a background independent field theory
arXiv:2507.12184 · doi:10.1142/S2972458925400131
Abstract
We analyze from a geometric perspective the Hamiltonian formulation of a recent modification of the Husain-Kuchař model where, while preserving the connection as a dynamical variable, the other field is restricted to be the exterior covariant derivative of a Lie algebra-valued function. We prove that 3-dimensional diffeomorphisms can be accommodated among the local gauge transformations of the model in addition to the internal gauge symmetries.
17 pages