Golden Ratio Controlled Chaos in Supersymmetric Dynamics

الأصل · EN

We construct supersymmetric Lagrangians for the recently constructed off-shell worldline N=3 supermultiplet Yᵢ/(i Dᵢ X) for I=1,2,3, where Yᵢ and X are standard, Salam-Strathdee superfields: Yᵢ fermionic and X bosonic. Already the Lagrangian bilinear in component fields exhibits a total of thirteen free parameters, seven of which specify Zeeman-like coupling to external (magnetic) fluxes. All but special subsets of this parameter space describe aperiodic oscillatory response, some of which are controlled by the "golden ratio," φ≈1.61803. We also show that all of these Lagrangians admit an N=3→ 4 supersymmetry extension, while a subset admits two inequivalent such extensions.