We construct a fully supersymmetric biHamiltonian theory in four superfields, admitting zero curvature and Lax formulation. This theory is an extension of the classical AKNS, which can be recovered as a reduction. Other supersymmetric theories are obtained as reductions of the susy AKNS, namely a nonlinear Schrodinger, a modified KdV and the Manin-Radul KdV. The susy nonlinear Schrodinger hierarchy is related to the one of Roelofs and Kersten; we determine its biHamiltonian and Lax formulation. Finally, we show that the susy KdV's mentioned before are related through a susy Miura map.
A fully supersymmetric AKNS theory / C. Morosi, L. Pizzocchero. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 176:2(1996), pp. 353-381. [10.1007/BF02099553]
A fully supersymmetric AKNS theory
L. PizzoccheroUltimo
1996
Abstract
We construct a fully supersymmetric biHamiltonian theory in four superfields, admitting zero curvature and Lax formulation. This theory is an extension of the classical AKNS, which can be recovered as a reduction. Other supersymmetric theories are obtained as reductions of the susy AKNS, namely a nonlinear Schrodinger, a modified KdV and the Manin-Radul KdV. The susy nonlinear Schrodinger hierarchy is related to the one of Roelofs and Kersten; we determine its biHamiltonian and Lax formulation. Finally, we show that the susy KdV's mentioned before are related through a susy Miura map.Pubblicazioni consigliate
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