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

Read more

Summary

Introduction

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.

Results
Conclusion
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call