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 Schrödinger, a modified KdV and the Manin-Radul KdV. The susy nonlinear Schrödinger 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.
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Communicated by R.H. Dijkgraaf
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Morosi, C., Pizzocchero, L. A fully supersymmetric AKNS theory. Commun.Math. Phys. 176, 353–381 (1996). https://doi.org/10.1007/BF02099553
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DOI: https://doi.org/10.1007/BF02099553