Physics NotePublished
Division Algebras and Extended <math>N=2,4,8</math> SuperKdVs
H.L. Carrion; M. Rojas; F. Toppan
2001
Publication details
- Authors
- H.L. Carrion; M. Rojas; F. Toppan
- Type
- Physics Note
- Status
- Published
- Publication date
- 2001
- Description
- The first example of an <math>N=8</math> supersymmetric extension of the KdV equation is here explicitly constructed. It involves <math>8</math> bosonic and <math>8</math> fermionic fields. It corresponds to the unique <math>N=8</math> solution based on a generalized hamiltonian dynamics with (generalized) Poisson brackets given by the Non-associative <math>N=8</math> Superconformal Algebra. The complete list of inequivalent classes of parametric-dependent <math>N=3</math> and <math>N=4</math> superKdVs obtained from the "Non-associative <math>N=8</math> SCA" is also furnished. Furthermore, a fundamental domain characterizing the class of inequivalent <math>N=4</math> superKdVs based on the "minimal <math>N=4</math> SCA" is given.
- Year
- 2001
- Number
- CBPF-NF-012/01
- Linked to a thesis
- No
- Linked to a grant
- No