Abstract
The fractional supersymmetry chiral algebras, A (K) , in two-dimensional conformal field theory are extended Virasoro algebras with fractional-spin currents J ( K) . We show that associativity and closure of A (K) determines its structure constants in the case that the Virasoro algebra is extended by precisely one current. We compute the structure constants of the A (K) algebras explicitly and we show that correlators of J ( K) 's satisfy non-abelian braiding relations.
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