Nota de FísicaPublicado
The N=2 Supersymmetric Heavenly Equation and Its Super-Hydrodynamical Reduction
Ziemowit Popowicz; F. Toppan
2003
Dados da publicação
- Autores
- Ziemowit Popowicz; F. Toppan
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 2003
- Descrição
- Manifest $N=2$ supersymmetric Toda systems are constructed from the $sl(n,n+1)$ superalgebras by taking into account their complex structure. In the $n\rightarrow \infty$ continuum limit an $N=2$ extension of the $(2+1)$-dimensional heavenly equation is obtained. The integrability is guaranteed by the existence of a supersymmetric Lax pair. We further analyze the properties of the $(1+1)$-dimensionally reduced system. Its bosonic sector is of hydrodynamical type. This is not the case for the whole supersymmetric system which, however, is super-hydrodynamical when properly expressed in terms of a supergeometry involving superfields and fermionic derivatives.
- Ano
- 2003
- Número
- CBPF-NF-003/03
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não