Division algebras and extended N = 2, 4, 8 super KdVs

The 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 a generalized hamiltonian dynamics with (generalized) Poisson brackets given by the Non-associate...

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Detalles Bibliográficos
Autores principales: Carrion, H L, Rojas, M, Toppan, F
Lenguaje:eng
Publicado: 2003
Materias:
Particle Physics
Acceso en línea:http://cds.cern.ch/record/747887
Descripción
Sumario:The 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 a generalized hamiltonian dynamics with (generalized) Poisson brackets given by the Non-associate 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.

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