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26 December 2024
 
  » arxiv » hep-th/9204023

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Superfield Realizations of $N=2$ Super-$W_3$
E.Ivanov ; S.Krivonos ;
Date 10 Apr 1992
Subject hep-th
AbstractWe present a manifestly $N=2$ supersymmetric formulation of $N=2$ super-$W_3$ algebra (its classical version) in terms of the spin 1 and spin 2 supercurrents. Two closely related types of the Feigin-Fuchs representation for these supercurrents are found: via two chiral spin $frac{1}{2}$ superfields generating $N=2$ extended $U(1)$ Kac-Moody algebras and via two free chiral spin 0 superfields. We also construct a one-parameter family of $N=2$ super Boussinesq equations for which $N=2$ super-$W_3$ provides the second hamiltonian structure.
Source arXiv, hep-th/9204023
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