Effective symmetries of the minimal supermultiplet of the<i>N</i>= 8 extended worldline supersymmetry

Faux, Michael; Gates, S. James; Hübsch, Tristan

doi:10.1088/1751-8113/42/41/415206

Cited by 13 publications

(22 citation statements)

References 30 publications

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“…The present note explores adopting this graphical tool for worldsheet supermultiplets. As done, e.g., in [1,34,40], we introduce a collection of otherwise intact (i.e., unconstrained, ungauged, unprojected. .…”

Section: Adinkrasmentioning

confidence: 99%

“…Faux et al [40] uses this approach to construct worldline Lagrangians for various types of so-called ultra-multiplets, but the approach is equally applicable for worldsheet models, and also for models in higherdimensional spacetime.…”

Section: Remarkmentioning

confidence: 99%

“…Start with a valise version of the smallest N = 8 worldline supermultiplet, the so-called "ultramultiplet" [6], depicted as (4.1) which was studied extensively in terms of Adinkras in [40], is a four-fold iterated Z 2 -quotient of the 8-cube, encoded by the (binary) doubly even α− -action), such that no edges from the first group forms a bow-tie with any of the edges from the second group.…”

Section: (4 4)-supersymmetrymentioning

confidence: 99%

“…The difference between the two supermultiplets evidently owes to the complex and tensor structure (the latter indicated by the indices i, j, k, ), which may be employed to represent a group action, not unlike those discussed in [40], which then serves to further distinguish TM-I supermultiplets from the TM-II ones.…”

Section: Sylvester J Gates Jr and Tristan Hübschmentioning

confidence: 99%

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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: Adinkrasmentioning

confidence: 99%

Section: Remarkmentioning

confidence: 99%

Section: (4 4)-supersymmetrymentioning

confidence: 99%

Section: Sylvester J Gates Jr and Tristan Hübschmentioning

confidence: 99%

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On dimensional extension of supersymmetry: from worldlines to worldsheets

Gates

Hübsch

2012

Advances in Theoretical and Mathematical Physics

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“…These works rely on previous publications under this grant [7,8,9,10,6,11,12,13,14,15,16,17,18,19,20,21,22,23,24].…”

mentioning

confidence: 99%

Final Year Project Report

Hübsch

2013

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In the last years of this eighteen-year grant project, the research efforts have focused mostly on the study of off-shell representations of supersymmetry, both on the worldline and on the worldsheet, i.e., both in supersymmetric quantum mechanics and in supersymmetric field theory in 1+1-dimensional spacetime.During this period of time, Mr. Gregory A. Katona and Mr. Shawn Eastmond have been recruited to work on the project, contributing to their PhD dissertation work.Since the last report and within the budget period (06/01/2011-05/31/2013) covered by this report, the research under this grant included research work on the following topics: (1) off-shell supermultiplets of worldline N -supersymmetry [1,2,3], and (2) off-shell supermultiplets in higherdimensional spacetimes [4], and (3) algebraic structure of common theoretical models [5].

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Unidexterously constrained worldsheet superfields

Hübsch¹

2010

J. Phys. A: Math. Theor.

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Super-constrained superfields have provided for most of the best-known and oft-used representations of supersymmetry. The abelian nature of the Lorentz symmetry on the worldsheet turns out to continue permitting the discovery of new representations, long after the discovery of twisted chiral superfields. Just as the latter were effectively used in Lagrangian studies of mirror symmetry, it would seem hopeful that the new representations discussed herein may find their own niche too. PACS: 11.30.Pb, 12.60.Jv If you do not expect the unexpected, you will not find it.-Aristotle

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Effective symmetries of the minimal supermultiplet of theN= 8 extended worldline supersymmetry

Cited by 13 publications

References 30 publications

On dimensional extension of supersymmetry: from worldlines to worldsheets

On dimensional extension of supersymmetry: from worldlines to worldsheets

Final Year Project Report

Unidexterously constrained worldsheet superfields

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