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Automorphism covariant representations of the holonomy-flux lowast-algebra

Automorphism covariant representations of the holonomy-flux lowast-algebra

We continue an analysis of representations of cylindrical functions and fluxes which are commonly used as elementary variables of Loop Quantum Gravity. We consider an arbitrary principal bundle of a compact connected structure group and following Sahlmann's ideas define a holonomy-flux *-algebra whose elements correspond to the elementary variables. There …