= Vertex operator algebra
{title2=$a\mapsto Y(a,z)$}
{wiki}
A <vertex operator algebra> is an integer-graded <vector space> equipped with a state-field correspondence $a\mapsto Y(a,z)$, a vacuum, translation operator and conformal vector satisfying vacuum, translation, locality and compatibility axioms. It packages the local <operator product expansions> of a chiral <conformal field theory>. A <string vertex operator> is an individual state insertion, rather than this complete <algebraic structure>.
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