Supersymmetry breaking, conserved charges and stability in N=1 Super KdV
A. Restuccia, A. Sotomayor
TL;DR
This paper investigates the algebraic structure and conserved charges of N=1 Super KdV, explores supersymmetry breaking effects, and examines the stability of solitonic solutions in a modified integrable model.
Contribution
It introduces a supersymmetry-breaking integrable model with Clifford algebra fields and analyzes its conserved charges and soliton stability.
Findings
Non-abelian algebra and supersymmetric cohomology characterized.
Supersymmetry breaking yields a new integrable model with conserved charges.
Solitonic solutions remain stable in the modified system.
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.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Advanced Topics in Algebra