THE MINIMAL N=2 SUPEREXTENSION OF THE NLS EQUATION

Details THE MINIMAL N=2 SUPEREXTENSION OF THE NLS EQUATION THE MINIMAL N=2 SUPEREXTENSION OF THE NLS EQUATION

1995-04-17

arxiv.org/abs/hep-th/9504084v1

Phys.Lett. B357 (1995) 94-98

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 7 pages

Scientific paper

10.1016/0370-2693(95)00755-A

We show that the well known $N=1$ NLS equation possesses $N=2$ supersymmetry and thus it is actually the $N=2$ NLS equation. This supersymmetry is hidden in terms of the commonly used $N=1$ superfields but it becomes manifest after passing to the $N=2$ ones. In terms of the new defined variables the second Hamiltonian structure of the supersymmetric NLS equation coincides with the $N=2$ superconformal algebra and the $N=2$ NLS equation belongs to the $N=2$ $a=4$ KdV hierarchy. We propose the KP-like Lax operator in terms of the $N=2$ superfields which reproduces all the conserved currents for the corresponding hierarchy.

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