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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, LaTeX, name of the first author extended

Scientific paper

10.1142/S0217732396001697

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.

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