EXTENDED CONFORMAL ALGEBRA WITH N=2 SUPERSYMMETRY

Abstract

We construct an N=2 supersymmetric extension of Zamolodchikov’s W algebra. The generators of this extended conformal algebra consist of the stress-tensor superfield and a pair of chiral currents [Formula: see text] of integer or half-integer spin Δ and opposite U(I) charges ±τ. The algorithm for deriving the operator product algebra [Formula: see text] is given for general Δ and the algebra is worked out explicitly for Δ=3/2. The N=2 super-W algebra has an interesting feature not shared by other conformal algebras, i.e. it has two types of algebra—short and long algebras.