Is it possible to embed a 4D, 
                $ \mathcal{N} $
               = 4 supersymmetric vector multiplet within a completely off-shell adinkra hologram?

et al. 2015

Int. J. Mod. Phys. A

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We propose the recently defined "Holoraumy Tensor" to play a critical role in defining a metric to establish a correspondence between 4D, [Formula: see text]-extended 0-brane-based valise supermultiplet representations and, correspondingly via "SUSY Holography," on the space of 1D, N-extended network-based adinkras. Using an analogy with the su(3) algebra, it is argued the 0-brane holoraumy tensors play the role of the " d -coefficients" and provide a newly established tool for investigating supersymmetric representation theory.

Section: J Kmentioning

confidence: 99%

Adinkras, 0-branes, holoraumy and the SUSY QFT/QM correspondence

Calkins

et al. 2015

Int. J. Mod. Phys. A

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“…In the work of [25], the L-matrices and R-matrices of a formulation of the 4D, N = 4 Maxwell adinkra network were given and this system possesses an augmentation satisfying (7.5) and (7.6) in an irreducible manner.…”

Section: Discussionmentioning

confidence: 99%

“…here and in the following discussion take on three values. The 0-brane version of an invariant action is given by [25,26] …”

Section: Jhep04(2015)056mentioning

confidence: 99%

Think different: applying the old macintosh mantra to the computability of the SUSY auxiliary field problem

Calkins

et al. 2015

J. High Energ. Phys.

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Starting with valise supermultiplets obtained from 0-branes plus field redefinitions, valise adinkra networks, and the "Garden Algebra," we discuss an architecture for algorithms that (starting from on-shell theories and, through a well-defined computation procedure), search for off-shell completions. We show in one dimension how to directly attack the notorious "off-shell auxiliary field" problem of supersymmetry with algorithms in the adinkra network-world formulation.

“…An interesting alternative approach to this embedding is the method of "adinkras" [23] which provide a one dimensional network graph description of supermultiplets. In [24,25] examples are given for how such an embedding works. The adinkras are being used in order to generate a set of adjacency matrices associated with them which provide the various representations of suppersymmetry.…”

Section: Jhep11(2017)063mentioning

confidence: 99%

From Diophantus to supergravity and massless higher spin multiplets

Koutrolikos

2017

J. High Energ. Phys.

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We present a new method of deriving the off-shell spectrum of supergravity and massless 4D, N = 1 higher spin multiplets without the need of an action and based on a set of natural requirements: (a.) existence of an underlying superspace description, (b.) an economical description of free, massless, higher spins and (c.) equal numbers of bosonic and fermionic degrees of freedom. We prove that for any theory that respects the above, the fermionic auxiliary components come in pairs and are gauge invariant and there are two types of bosonic auxiliary components. Type (1) are pairs of a (2, 0)-tensor with real or imaginary (1, 1)-tensor with non-trivial gauge transformations. Type (2) are singlets and gauge invariant. The outcome is a set of Diophantine equations, the solutions of which determine the off-shell spectrum of supergravity and massless higher spin multiplets. This approach provides (i ) a classification of the irreducible, supersymmetric, representations of arbitrary spin and (ii ) a very clean and intuitive explanation to why some of these theories have more than one formulations (e.g. the supergravity multiplet) and others do not.