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 o i n f t y

limit, the ``classical N=2 $W_{3}^{(2)}$ algebra is recovered.

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Quantum \(N=2\) super-\(W_3^{(2)}\) algebra in superspace