GOLDEN RATIO CONTROLLED CHAOS IN SUPERSYMMETRIC DYNAMICS
Abbreviated Journal Title
Int. J. Mod. Phys. A
Supersymmetry; off-shell multiplet; worldline; N-EXTENDED SUPERSYMMETRY; SPINNING PARTICLES; CLASSIFICATION; Physics, Nuclear; Physics, Particles & Fields
We construct supersymmetric Lagrangians for the recently constructed off-shell worldline N = 3 supermultiplet Y-I/(iD(I)X) for I = 1, 2, 3, where Y-I and X are standard, Salam-Strathdee superfields: Y-I fermionic and X bosonic. Already the Lagrangian bi-linear 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," phi approximate to 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.
International Journal of Modern Physics A
"GOLDEN RATIO CONTROLLED CHAOS IN SUPERSYMMETRIC DYNAMICS" (2013). Faculty Bibliography 2010s. 4129.