Structure Constants of the Fractional Supersymmetry Chiral Algebras

Details Structure Constants of the Fractional Supersymmetry Chiral Algebras Structure Constants of the Fractional Supersymmetry Chiral Algebras

1991-10-18

arxiv.org/abs/hep-th/9110052v1

Nucl.Phys. B367 (1991) 217-254

Physics

High Energy Physics

High Energy Physics - Theory

44 pages

Scientific paper

10.1016/0550-3213(91)90048-3

The fractional supersymmetry chiral algebras in two-dimensional conformal field theory are extended Virasoro algebras with fractional spin currents. We show that associativity and closure of these algebras determines their structure constants in the case that the Virasoro algebra is extended by precisely one current. We compute the structure constants of these algebras explicitly and we show that correlators of the currents satisfy non-Abelian braiding relations.

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