Field Strengths of Linearized 5D,<i>N</i>= 1 Superfield Supergravity On a 3-Brane

Gates, S. James; Linch, William D.; Phillips, Joseph A.

doi:10.1088/1126-6708/2005/02/036

Cited by 30 publications

(87 citation statements)

References 16 publications

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“…The unpublished work in [45] made an unexpected assertion, bringing to light evidence for the existence of a "supersymmetry holography" that was unknown at the time. This evidence was garnered from many works referenced here from that period and made on the basis of observation of "Garden Algebra" structures found universally in all unconstrained supersymmetric quantum mechanical systems [75].…”

Section: Discussionmentioning

confidence: 99%

On dimensional extension of supersymmetry: from worldlines to worldsheets

Gates

Hübsch

2012

Advances in Theoretical and Mathematical Physics

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There exist myriads of off-shell worldline supermultiplets for (N ≤ 32)-extended supersymmetry in which every supercharge maps a component field to precisely one other component field or its derivative. A subset of these extends to off-shell worldsheet (p, q)-supersymmetry, and is characterized herein by evading an obstruction specified visually and computationally by the "bow-tie" and "spin sum rule" twin theorems. The evasion of this obstruction is proven to be both necessary and sufficient for a worldline supermultiplet to extend to worldsheet supersymmetry; it is also a necessary filter for dimensional extension to higher-dimensional spacetime. We show explicitly how to "re-engineer" an Adinkra-if permitted by the twin theorems-so as to depict an off-shell supermultiplet of worldsheet (p, q)-supersymmetry. This entails starting from an Adinkra depicting a specific type of supermultiplet of worldline (p+q)-supersymmetry, judiciously re-defining a subset of component fields and e-print archive: http://lanl.arXiv.org/abs/1104.0722v2

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Section: Discussionmentioning

confidence: 99%

On dimensional extension of supersymmetry: from worldlines to worldsheets

Gates

Hübsch

2012

Advances in Theoretical and Mathematical Physics

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“…A comparison of the components of 11D supergravity to those of the hierarchy shows that there are (at least) the 35 + 7 superfluous scalars coming from the scalar and two-form multiplets, respectively as the bosonic partners required to complete the multiplet. On the other hand, the remaining supergravity components have not yet been accounted for and it is known from previous work [25,26] that including these superspin-3 2 and -1 multiplets has the potential to resolve this mismatch. Including the coupling to these fields is work currently in progress [20].…”

Section: Prospectsmentioning

confidence: 99%

Abelian tensor hierarchy in 4D, N = 1 superspace

Becker

Linch

et al. 2016

J. High Energ. Phys.

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With the goal of constructing the supersymmetric action for all fields, massless and massive, obtained by Kaluza-Klein compactification from type II theory or M-theory in a closed form, we embed the (Abelian) tensor hierarchy of p-forms in four-dimensional, N = 1 superspace and construct its Chern-Simons-like invariants. When specialized to the case in which the tensors arise from a higher-dimensional theory, the invariants may be interpreted as higher-dimensional Chern-Simons forms reduced to four dimensions. As an application of the formalism, we construct the eleven-dimensional Chern-Simons form in terms of four-dimensional, N = 1 superfields.

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“…In the chiral representation covariant derivatives are given by 2) and transform covariantly under the gauge transformations (3.1) (…”

Section: Coupling Hypermultiplets To Symmentioning

confidence: 99%

“…In fact, it has been conjectured [1] The origin of this formula is at present not understood. However, there has in more recent times begun to emerge evidence this is related to the representation theory of certain Clifford algebras and K-theory [2].…”

Section: Introductionmentioning

confidence: 99%