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arXiv · hep-th/9505142

$N=2$ Super-$W_3^{(2)}$ Algebra in Superfields

E. Ivanov·S. Krivonos·A. Sorin
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Abstract

We present a manifestly $N=2$ supersymmetric formulation of $N=2$ super-$W_3^{(2)}$ algebra (its classical version) in terms of the spin 1 unconstrained supercurrent generating a $N=2$ superconformal subalgebra and the spins 1/2, 2 bosonic and spins 1/2, 2 fermionic constrained supercurrents. We consider a superfield reduction of $N=2$ super-$W_3^{(2)}$ to $N=2$ super-$W_3$ and construct a family of evolution equations for which $N=2$ super-$W_3^{(2)}$ provides the second hamiltonian structure.

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E. Ivanov, S. Krivonos, A. Sorin. 1995-06-01. $N=2$ Super-$W_3^{(2)}$ Algebra in Superfields. https://doi.org/10.1142/s0217732395002581

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