Golden Ratio Controlled Chaos in Supersymmetric Dynamics

Abstract

We construct supersymmetric Lagrangians for the recently constructed off-shell worldline N=3 supermultiplet $Y_I/(i{D}_{I}X)$ for I=1,2,3, where $Y_I$ and $X$ are standard, Salam-Strathdee superfields: $Y_I$ fermionic and $X$ bosonic. Already the Lagrangian 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," $\phi \approx 1.61803$. We also show that all of these Lagrangians admit an $N=3\to 4$ supersymmetry extension, while a subset admits two inequivalent such extensions.

References in corpus (5)

• When Superspace Is Not Enough
• Refining the classification of the irreps of the 1D N-Extended Supersymmetry
• Spin Holography via Dimensional Enhancement
• Critical scaling dimension of D-module representations of N=4,7,8 Superconformal Algebras and constraints on Superconformal Mechanics
• Pure and entangled N=4 linear supermultiplets and their one-dimensional sigma-models

Cited by in corpus (3)

• The golden ratio in Schwarzschild-Kottler black holes
• On General Off-Shell Representations of Worldline (1D) Supersymmetry
• A Q-Continuum of Off-Shell Supermultiplets