Division Algebras and Extended N=2,4,8 SuperKdVs

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dc.creatorCarrion, H. L.
dc.creatorRojas, M.
dc.creatorToppan, F.
dc.date2001-09-02
dc.date.accessioned2026-07-07T10:54:22Z
dc.date.available2026-07-07T10:54:22Z
dc.descriptionThe first example of an N=8 supersymmetric extension of the KdV equation is here explicitly constructed. It involves 8 bosonic and 8 fermionic fields. It corresponds to the unique N=8 solution based on a generalized hamiltonian dynamics with (generalized) Poisson brackets given by the Non-associative N=8 Superconformal Algebra. The complete list of inequivalent classes of parametric-dependent N=3 and N=4 superKdVs obtained from the ``Non-associative N=8 SCA" is also furnished. Furthermore, a fundamental domain characterizing the class of inequivalent N=4 superKdVs based on the "minimal N=4 SCA" is given.
dc.description14 pages, LaTex
dc.identifierhttps://arxiv.org/abs/nlin/0109002
dc.identifierhttp://arxiv.org/abs/nlin/0109002
dc.identifierJ.Phys.A36:3809-3820,2003
dc.identifierdoi:10.1088/0305-4470/36/13/312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185781
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.titleDivision Algebras and Extended N=2,4,8 SuperKdVs
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