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- W102837128 abstract "An infinite sequence of new non-local conserved quantities for the N = 1 Super KdV (SKdV) equation is obtained. The sequence is constructed, via a Gardner trasformation, from a new conserved quantity of the Super Gardner equation. The SUSY generator defines a nilpotent operator of the space of all conserved quantities into itself. On the ring of C 1 # superfields the local conserved quantities are closed but not exact. However on the ring of C 11 superfields, an extension of the C 1 # ring, they become exact and equal to the SUSY transformed of the subset of odd non-local conserved quantities of the appropriate weight. The remaining odd nonlocal ones generate closed geometrical objects which become exact when the ring is extended to the C 1 NL;2 superfields, and equal to the SUSY transformation of the new even non-local conserved quantities we have obtained. These ones fit exactly in the SUSY cohomology of the already known conserved quantities. Finally we show that the algebra of conserved quantities of SKdV is a W-algebra extension of the superconformal algebra." @default.
- W102837128 created "2016-06-24" @default.
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- W102837128 date "2009-11-26" @default.
- W102837128 modified "2023-10-14" @default.
- W102837128 title "New conserved quantities for N = 1 SKdV, the supersymmetric cohomology and W -algebras" @default.
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