A Lorentz Covariant Holoraumy-Induced "Gadget" From Minimal Off-Shell 4D, N = 1 Supermultiplets

Abstract

Starting from three minimal off-shell 4D, $\mathcal{N}$ = 1 supermultiplets, using constructions solely defined within the confines of the four dimensional field theory we show the existence of a "gadget" - a member of a class of metrics on the representation space of the supermultiplets - whose values directly and completely correspond to the values of a metric defined on the 1d, $N$ = 4 adinkra networks adjacency matrices corresponding to the projections of the four dimensional supermultiplets.

arXiv commentLaTeX twice, 4 figures, 17 ppg

References in corpus (16)

• Adinkras: A Graphical Technology for Supersymmetric Representation Theory
• A Theory of Spinning Particles for Large N-extended Supersymmetry
• Classification of irreps and invariants of the N-extended Supersymmetric Quantum Mechanics
• A Theory of Spinning Particles for Large N_extended Supersymmetry (II)
• 4D, N = 1 Supersymmetry Genomics (I)
• When Superspace Is Not Enough
• Refining the classification of the irreps of the 1D N-Extended Supersymmetry
• Codes and Supersymmetry in One Dimension
• Topology Types of Adinkras and the Corresponding Representations of N-Extended Supersymmetry
• Relating Doubly-Even Error-Correcting Codes, Graphs, and Irreducible Representations of N-Extended Supersymmetry
• Decomposition and Oxidation of the N-Extended Supersymmetric Quantum Mechanics Multiplets
• Adinkra (In)Equivalence From Coxeter Group Representations: A Case Study
• On Clifford-Algebraic "Holoraumy", Dimensional Extension, and SUSY Holography
• Adinkras and SUSY Holography
• Adinkras, 0-branes, Holoraumy and the SUSY QFT/QM Correspondence
• Adinkra `Color' Confinement In Exemplary Off-Shell Constructions Of 4D, $\mathcal{N}$ = 2 Supersymmetry Representations

Cited by in corpus (13)

• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• On the Four Dimensional Holoraumy of the 4D, $\mathcal{N}$ = 1 Complex Linear Supermultiplet
• Generating all 36,864 Four-Color Adinkras via Signed Permutations and Organizing into $\ell$- and $\tilde{\ell }$-Equivalence Classes
• Adinkras From Ordered Quartets of BC${}_4$ Coxeter Group Elements and Regarding 1,358,954,496 Matrix Elements of the Gadget
• Adinkras From Ordered Quartets of BC4 Coxeter Group Elements and Regarding Another Gadget's 1,358,954,496 Matrix Elements
• Adinkra Height Yielding Matrix Numbers: Eigenvalue Equivalence Classes for Minimal Four-Color Adinkras
• A Proposal On Culling & Filtering A Coxeter Group For 4D, N = 1 Spacetime SUSY Representations
• Properties of HYMNs in Examples of Four-Color, Five-Color, and Six-Color Adinkras
• Examples of 4D, N = 2 Holoraumy
• 4D, $\mathcal{N}=1$ Matter Gravitino Genomics
• On the Ubiquity Of Electromagnetic-Duality Rotations in 4D, N = 1 Holoraumy Tensors for On-Shell 4D Supermultiplets
• Exploring the Abelian 4D, $\mathcal{N}$ = 4 Vector-Tensor Supermultiplet and Its Off-Shell Central Charge Structure
• Infinite-Dimensional Algebraic $\mathfrak{Spin}$($N$) Structure in Extended/Higher Dimensional SUSY Holoraumy for Valise and On-Shell Supermultiplet Representations