Extensions of the N=2 Supersymmetric a=-2 Boussinesq Hierarchy

Details Extensions of the N=2 Supersymmetric a=-2 Boussinesq Hierarchy Extensions of the N=2 Supersymmetric a=-2 Boussinesq Hierarchy

1997-07-07

arxiv.org/abs/hep-th/9707065v2

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, new references added, minor typos corrected, e-mail: ziemek@ift.uni.wroc.pl

Scientific paper

10.1016/S0375-9601(97)00793-7

We present two different Lax operators for a manifestly N=2 supersymmetric extension of "a=-2" Boussinesq hierarchy . The first is the supersymmetric generalization of the Lax operator of the Modified KdV equation. The second is the generalization of the supersymmetric Lax operator of the N=2 supersymmetric a=-2 KdV system. The gauge transformation of the first Lax operator provide the Miura link between the "small" N=4 supersymmetric conformal algebra and the supersymmetric $W_{3}$ algebra .

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