QUANTUM N = 2${\rm SUPER}-W_3^{\left( 2 \right)} $ ALGEBRA IN SUPERSPACE

Abstract

We discuss the N=2 extension of Polyakov-Bershadsky [Formula: see text] 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 super-currents satisfying the first-class nonlinear chiral constraints. In the c→∞ limit, the “classical” [Formula: see text]algebra is recovered.