ON THE CONSTRUCTION AND THE STRUCTURE OF OFF-SHELL SUPERMULTIPLET QUOTIENTS

    Authors

    T. Hubsch;G. A. Katona

    Comments

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    Abbreviated Journal Title

    Int. J. Mod. Phys. A

    Keywords

    Supersymmetry; off-shell supermultiplets; worldline; LINEAR SIGMA-MODELS; EXTENDED SUPERSYMMETRIES; CLASSIFICATION; SUPERFIELDS; MULTIPLETS; SYMMETRY; SYSTEMS; PHASES; Physics, Nuclear; Physics, Particles & Fields

    Abstract

    Recent efforts to classify representations of supersymmetry with no central charge [C. F. Doran et al., Adv. Theor. Math. Phys. 15, 1909 (2011)] have focused on supermultiplets that are aptly depicted by Adinkras, wherein every supersymmetry generator transforms each component field into precisely one other component field or its derivative. Herein, we study gauge-quotients of direct sums of Adinkras by a supersymmetric image of another Adinkra and thus solve a puzzle in the paper by Doran et al., Int. J. Mod. Phys. A 22, 869 (2007): such (gauge-)quotients are not Adinkras but more general types of supermultiplets, each depicted as a connected network of Adinkras. Iterating this gauge-quotient construction then yields an indefinite sequence of ever larger supermultiplets, reminiscent of Weyl's construction that is known to produce all finite-dimensional unitary representations in Lie algebras.

    Journal Title

    International Journal of Modern Physics A

    Volume

    27

    Issue/Number

    29

    Publication Date

    1-1-2012

    Document Type

    Article

    Language

    English

    First Page

    24

    WOS Identifier

    WOS:000311560900007

    ISSN

    0217-751X

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