Publications (11)
Reduction Redux of Adinkras
S. James Gates, Stephen Randall, Kory Stiffler
We show performing general "0-brane reduction" along an arbitrary fixed direction in spacetime and applied to the starting point of minimal, off-shell 4D, 1 irreducibl…
The Structure of Superforms
Stephen Randall
In this thesis we examine a set of foundational questions concerning closed forms in superspace. By reformulating a number of definitions through the use of a new ring of (anti-)co…
Superforms in Five-Dimensional, Superspace
S. James Gates, William D. Linch, Stephen Randall
We examine the five-dimensional super-de Rham complex with supersymmetry. The elements of this complex are presented explicitly and related to those of the six-dimensional…
Five-dimensional Supergravity in N = 1/2 Superspace
Katrin Becker, Melanie Becker, Daniel Butter +2
We construct 5D, N = 1 supergravity in a 4D, N = 1 superspace with an extra bosonic coordinate. This represents four of the supersymmetries and the associated Poincaré symmetries…
4D, N=1 Supergravity Genomics
Isaac Chappell, S. James Gates, William D. Linch +4
The off-shell representation theory of 4D, supermultiplets can be categorized in terms of distinct irreducible graphical representations called adinkras as part of…
Superspace de Rham Complex and Relative Cohomology
William D. Linch, Stephen Randall
We investigate the super-de Rham complex of five-dimensional superforms with supersymmetry. By introducing a free supercommutative algebra of auxiliary variables, we show tha…