The Real Anatomy of Complex Linear Superfields

Abstract

Recent work on classicication of off-shell representations of N-extended worldline supersymmetry without central charges has uncovered an unexpectedly vast number--trillions of even just (chromo)topology types--of so called adinkraic supermultiplets. Herein, we show by explicit analysis that a long-known but rarely used representation, the complex linear supermultiplet, is not adinkraic, cannot be decomposed locally, but may be reduced by means of a Wess-Zumino type gauge. This then indicates that the already unexpectedly vast number of adinkraic off-shell supersymmetry representations is but the proverbial tip of the iceberg.

21 pages, 4 figures

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Cited by in corpus (13)

• Super-Carrollian and Super-Galilean Field Theories
• Adinkra (In)Equivalence From Coxeter Group Representations: A Case Study
• Adinkras and SUSY Holography
• 4D, N=1 Supergravity Genomics
• Adinkra `Color' Confinement In Exemplary Off-Shell Constructions Of 4D, $\mathcal{N}$ = 2 Supersymmetry Representations
• On General Off-Shell Representations of Worldline (1D) Supersymmetry
• Pure and entangled N=4 linear supermultiplets and their one-dimensional sigma-models
• A Q-Continuum of Off-Shell Supermultiplets
• On the Construction and the Structure of Off-Shell Supermultiplet Quotients
• A Proposal On Culling & Filtering A Coxeter Group For 4D, N = 1 Spacetime SUSY Representations
• On Supermultiplet Twisting and Spin-Statistics
• 4D, $\mathcal{N}=1$ Matter Gravitino Genomics
• Exploring the Abelian 4D, $\mathcal{N}$ = 4 Vector-Tensor Supermultiplet and Its Off-Shell Central Charge Structure