Abstract
Vertex algebras formalize the subalgebra of holomorphic fields of a conformal field theory. OPE-algebras were proposed by Kapustin and Orlov as a generalization of vertex algebras that formalizes the algebra of all fields of a conformal field theory. We prove some basic results about them. The state-field correspondence is an OPE-algebra isomorphism and Dong's lemma and the existence theorem hold for multiply local OPE-algebras. Locality implies skew-symmetry. If skew-symmetry holds, then duality implies locality for modules and they are equivalent for algebras. We define modules over OPE-algebras.
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