Title

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

Authors

Authors

T. Hubsch;G. A. Katona

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

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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