Superfield component decompositions and the scan for prepotential supermultiplets in 10D superspaces

  title={Superfield component decompositions and the scan for prepotential supermultiplets in 10D superspaces},
  author={S. James Gates and Yangrui Hu and S.-N. Hazel Mak},
  journal={Journal of High Energy Physics},
The first complete and explicit SO(1,9) Lorentz descriptions of all component fields contained in the N $$ \mathcal{N} $$ = 1, N $$ \mathcal{N} $$ = 2A, and N $$ \mathcal{N} $$ = 2B unconstrained scalar 10D superfields are presented. These are made possible by a discovery of the dependence of the superfield component expansion on the branching rules of irreducible representations in one ordinary Lie algebra into one of its Lie subalgebras. Adinkra graphs for ten dimensional superspaces are… 
Adinkra foundation of component decomposition and the scan for superconformal multiplets in 11D, $$ \mathcal{N} $$ = 1 superspace
For the first time in the physics literature, the Lorentz representations of all 2,147,483,648 bosonic degrees of freedom and 2,147,483,648 fermionic degrees of freedom in an unconstrained eleven
Weyl covariance, and proposals for superconformal prepotentials in 10D superspaces
Proposals are made to describe the Weyl scaling transformation laws of supercovariant derivatives $\nabla{}_{\underline A}$, the torsion supertensors $T{}_{{\underline A} \, {\underline
Advening to Adynkrafields: Young Tableaux to Component Fields of the 10D, N = 1 Scalar Superfield
Starting from higher dimensional adinkras constructed with nodes referenced by Dynkin Labels, we define "adynkras." These suggest a computationally direct way to describe the component fields
Component decompositions and adynkra libraries for supermultiplets in lower dimensional superspaces
Abstract We present Adynkra Libraries that can be used to explore the embedding of multiplets of component field (whether on-shell or partial on-shell) within Salam-Strathdee superfields for
A Mini-Introduction To Superfield Decompositions With Branching Rules
This paper provides a short introduction to scalar, bosonic, and fermionic superfield component expansion based on the branching rules of irreducible representations in one Lie algebra (in our case,
Positive Configuration Space
We define and study the totally nonnegative part of the Chow quotient of the Grassmannian, or more simply the nonnegative configuration space. This space has a natural stratification by positive Chow


On Graph-Theoretic Identifications of Adinkras, Supersymmetry Representations and Superfields
In this paper, we discuss off-shell representations of N-extended supersymmetry in one dimension, i.e. N-extended supersymmetric quantum mechanics, and following earlier work on the subject, we
Geometrization of $N$-Extended $1$-Dimensional Supersymmetry Algebras II
The problem of classifying off-shell representations of the $N$-extended one-dimensional super Poincare algebra is closely related to the study of a class of decorated $N$-regular, $N$-edge colored
Topology Types of Adinkras and the Corresponding Representations of N -Extended Supersymmetry
A relationship between Adinkra diagrams and quotients of N-dimensional cubes is demonstrated, and how these quotient groups correspond precisely to doubly even binary linear error-correcting codes provides a means for describing equivalence classes of Adinkras and therefore supermultiplets.
On Clifford-algebraic dimensional extension and SUSY holography
We analyze the group of maximal automorphisms of the N-extended worldline supersymmetry algebra, and its action on off-shell supermultiplets. This defines a concept of "holoraumy" that extends the
Adinkra height yielding matrix numbers: Eigenvalue equivalence classes for minimal four-color adinkras
An adinkra is a graph-theoretic representation of space–time supersymmetry. Minimal four-color valise adinkras have been extensively studied due to their relations to minimal 4D, [Formula: see text]
The cohomology of superspace, pure spinors and invariant integrals
The superform construction of supersymmetric invariants, which consists of integrating the top component of a closed superform over spacetime, is reviewed. The cohomological methods necessary for the