# On dimensional extension of supersymmetry: From worldlines to worldsheets

@article{Gates2012OnDE,
title={On dimensional extension of supersymmetry: From worldlines to worldsheets},
author={Sylvester James Gates and Tristan Hubsch},
journal={Advances in Theoretical and Mathematical Physics},
year={2012},
volume={16},
pages={1619-1667}
}
• Published 2012
• Physics, Mathematics
• Advances in Theoretical and Mathematical Physics
• 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… CONTINUE READING