We consider the entanglement entropy for a spacetime region and its spacelikecomplement in the framework of algebraic quantum field theory. For a M\"obiuscovariant local net satisfying a certain nuclearity property, we consider thevon Neumann entropy for type I factors between local algebras and introduce anentropic quantity. Then we implement a cutoff on this quantity with respect tothe conformal Hamiltonian and show that it remains finite as the distance oftwo intervals tends to zero. We compare our definition to others in theliterature.
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