Lax pairs for N=2,3 Supersymmetric KdV Equations and their Extensions

Details Lax pairs for N=2,3 Supersymmetric KdV Equations and their Extensions Lax pairs for N=2,3 Supersymmetric KdV Equations and their Extensions

1998-01-30

arxiv.org/abs/solv-int/9802003v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTex

Scientific paper

10.1142/S0217732398001510

We present the Lax operator for the N=3 KdV hierarchy and consider its
extensions. We also construct a new infinite family of N=2 supersymmetric
hierarchies by exhibiting the corresponding super Lax operators. The new
realization of N=4 supersymmetry on the two general N=2 superfields, bosonic
spin 1 and fermionic spin 1/2, is discussed.

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