Quantum N=2 super $W_3^{(2)}$ Algebra In Superspace

Abstract

We discuss the N=2 extension of Polyakov-Bershadsky $W_3^{(2)}$ algebra with the generic central charge, $c$, at the quantum level in superspace. It contains, in addition to the spin 1 N=2 stress tensor, the spins $1/2,2$ bosonic and spins $1/2,2$ fermionic supercurrents satisfying the first class nonlinear chiral constraints. In the $c\to \infty$ limit, the ``classical'' N=2 $W_3^{(2)}$ algebra is recovered.

8 pages, LaTeX, name of the first author extended

Cited by in corpus (1)

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