GOLDEN RATIO CONTROLLED CHAOS IN SUPERSYMMETRIC DYNAMICS

    Authors

    T. Hubsch;G. A. Katona

    Comments

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    Abbreviated Journal Title

    Int. J. Mod. Phys. A

    Keywords

    Supersymmetry; off-shell multiplet; worldline; N-EXTENDED SUPERSYMMETRY; SPINNING PARTICLES; CLASSIFICATION; Physics, Nuclear; Physics, Particles & Fields

    Abstract

    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.

    Journal Title

    International Journal of Modern Physics A

    Volume

    28

    Issue/Number

    30

    Publication Date

    1-1-2013

    Document Type

    Article

    Language

    English

    First Page

    27

    WOS Identifier

    WOS:000329056700009

    ISSN

    0217-751X

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