Abstract
A supersymmetric breaking procedure for N = 1 Super Korteweg-de Vries (SKdV), preserving the positivity of the hamiltonian as well as the existence of solitonic solutions, is implemented. The resulting solitonic system is shown to have nice stability properties.
Highlights
The breaking of supersymmetry in physical systems is always an interesting aspect to analyze
We considered in [ ] the supersymmetry breaking of the Super Korteweg-de Vries (SKdV) system by changing the Grassmann algebra structure of the SKdV formulation to a Clifford algebra one
4 Conclusions Following [ ], we considered the breaking of the supersymmetry in the N = Super Korteweg-de Vries (KdV) system and analyzed a solitonic model in terms of a Clifford algebra-valued field
Summary
The breaking of supersymmetry in physical systems is always an interesting aspect to analyze. We consider a solitonic system [ ] arising from the breaking of supersymmetry in the N = Super KdV system [ , ]. One may obtain a solitonic system with the same evolution equation for the new Clifford algebra-valued field as one had for the odd Grassmann algebra-valued one in the SKdV system, and what is more important, with a bounded from below hamiltonian.
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