Intertwiner entanglement excitation and holonomy operator

Abstract In the loop quantum gravity framework, spin network states carry entanglement between excitations of geometry at different space points. This intertwiner is gauge-invariant and comes from superposition spins intertwiners. Bipartite can be interpreted as a witness distance, while multipartite reflects curvature geometry. The present work investigates how bipartite changes under action holonomy operator, which basic building block gravity’s dynamics. We reveal relation excitation dispersion operator. leads to new interesting connection bulk boundary observables via dynamics entanglement.