Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-04-05
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX 3 times, added reference, minor edits and typo correction
Scientific paper
There exist myriads of off-shell worldline supermultiplets for (N{\leq}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 by the twin theorems 2.1 and 2.2 in this note. The evasion of the obstruction defined in these theorems is conjectured to be 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 2.1 and 2.2---so as to depict an off-shell supermultiplet of worldsheet (p,q)-supersymmetry.
Gates James S. Jr.
Hubsch Tristan
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