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}
}
  • Sylvester James Gates, Tristan Hubsch
  • 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

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