Speaker
Carolina Sole Panella
(FAU Erlangen-Nürnberg)
Description
We use a U(1) model to probe Loop Quantum Gravity on null surfaces. Starting from the electromagnetic phase space, we analyse the algebra between holonomies and fluxes. For a path (hoop) formed by two light-like segments connected by a space-like segment, we compute the Poisson brackets for the resulting holonomies. The result is a non-commutative Poisson algebra of holonomies. Two hoop-holonomies commute unless they cross the same light-ray. Upon quantization, holonomies on the light-cone behave effectively as fermions, offering a tractable framework for LQG-type quantization on null geometry.
