Infinite sequence of new conserved quantities for N=1 SKdV and the supersymmetric cohomology

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dc.creatorAndrea, S.
dc.creatorRestuccia, A.
dc.creatorSotomayor, A.
dc.date2008-11-08
dc.date2008-12-26
dc.date.accessioned2026-07-07T12:22:03Z
dc.date.available2026-07-07T12:22:03Z
dc.descriptionAn infinite sequence of new non-local conserved quantities for 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 operation from the space of all conserved quantities into itself. On the ring of $C_\downarrow^\infty$ superfields the local conserved quantities are closed but not exact. However on the ring of $C_{NL,1}^\infty$ superfields, an extension of the $C_\downarrow^\infty$ 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 no-local ones generate closed geometrical objects which become exact when the ring is extended to the $C_{NL,2}^\infty$ superfields and equal to the SUSY transformed 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.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0811.1246
dc.identifierhttp://arxiv.org/abs/0811.1246
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213526
dc.subjectHigh Energy Physics - Theory
dc.titleInfinite sequence of new conserved quantities for N=1 SKdV and the supersymmetric cohomology
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