Spin Holography via Dimensional Enhancement
arXiv:0907.4543 · doi:10.1016/j.physletb.2009.10.014
Abstract
We explain how all information about ambient component field spin assignments in higher-dimensional off-shell supersymmetry is accessibly coded in one-dimensional restrictions, known as shadows. We also explain how to determine whether the components of a given one-dimensional supermultiplet may assemble into representations of $\spin(1,D-1)$ and, if so, how to specifically determine those representations.
13 pages, LaTeX
References in corpus (7)
- 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)
- When Superspace Is Not Enough
- On Graph-Theoretic Identifications of Adinkras, Supersymmetry Representations and Superfields
- On the Matter of N=2 Matter
Cited by in corpus (19)
- 4D, N = 1 Supersymmetry Genomics (I)
- On non-minimal N=4 supermultiplets in 1D and their associated sigma-models
- Weaving Worldsheet Supermultiplets from the Worldlines Within
- On Clifford-Algebraic "Holoraumy", Dimensional Extension, and SUSY Holography
- Adinkras and SUSY Holography
- 4D, N = 1 Supersymmetry Genomics (II)
- 4D, N=1 Supergravity Genomics
- Adinkra `Color' Confinement In Exemplary Off-Shell Constructions Of 4D, = 2 Supersymmetry Representations
- Supersymmetric Extension of Hopf Maps: N=4 sigma-models and the S^3 -> S^2 Fibration
- Generating all 36,864 Four-Color Adinkras via Signed Permutations and Organizing into - and -Equivalence Classes
- Golden Ratio Controlled Chaos in Supersymmetric Dynamics
- Adinkras From Ordered Quartets of BC Coxeter Group Elements and Regarding 1,358,954,496 Matrix Elements of the Gadget
- Adinkra Height Yielding Matrix Numbers: Eigenvalue Equivalence Classes for Minimal Four-Color Adinkras
- Properties of HYMNs in Examples of Four-Color, Five-Color, and Six-Color Adinkras
- Superfield Component Decompositions and the Scan for Prepotential Supermultiplets in 10D Superspaces
- On Supermultiplet Twisting and Spin-Statistics
- Structural Theory of 2-d Adinkras
- 4D, Matter Gravitino Genomics
- A Computer Algorithm For Engineering Off-Shell Multiplets With Four Supercharges On The World Sheet