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The N=2 supersymmetric matrix GNLS hierarchies

L. Bonora·S. Krivonos·A. Sorin
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Abstract

We construct the matrix generalization of the N=2 supersymmetric GNLS hierarchies. This is done by exhibiting the corresponding matrix super Lax operators in terms of N=2 superfields in two different superfield bases. We present the second Hamiltonian structure and discrete symmetries. We then extend our discussion by conjecturing the Lax operators of different reductions of the N=2 supersymmetric matrix KP hierarchy and discuss the simplest examples.

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L. Bonora, S. Krivonos, A. Sorin. 1997-11-20. The N=2 supersymmetric matrix GNLS hierarchies. https://arxiv.org/abs/solv-int/9711009

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