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The N=2 Supersymmetric Matrix GNLS Hierarchies |
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| Authors: | Bonora L Krivonos S Sorin A |
| Institution: | (1) International School for Advanced Studies (SISSA/ISAS), Via Beirut 2, 34014 Trieste, Italy and;(2) INFN, Sezione di Trieste, Italy; e-mail;(3) Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow Region, Russia |
| 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. |
| Keywords: | Matrix hierarchies N=2 supersymmetry NLS hierarchies |
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