English

Supersymmetry breaking, conserved charges and stability in N=1 Super KdV

Mathematical Physics 2013-02-14 v1 High Energy Physics - Theory math.MP

Abstract

We analyse the non-abelian algebra and the supersymmetric cohomology associated to the local and non-local conserved charges of N=1 SKdV under Poisson brackets. We then consider the breaking of the supersymmetry and obtain an integrable model in terms of Clifford algebra valued fields. We discuss the remaining conserved charges of the new system and the stability of the solitonic solutions.

Keywords

Cite

@article{arxiv.1211.1851,
  title  = {Supersymmetry breaking, conserved charges and stability in N=1 Super KdV},
  author = {A. Restuccia and A. Sotomayor},
  journal= {arXiv preprint arXiv:1211.1851},
  year   = {2013}
}

Comments

Contribution to the Proceedings of the International Conference on Mathematical Modeling in Physical Sciences(September 3-7, 2012, Budapest, Hungary). To be published in Journal of Physics: Conference Series. 7 pages