Lowest weight representations of super Schrödinger algebras in one dimensional space

@article{Aizawa2011LowestWR,
  title={Lowest weight representations of super Schr{\"o}dinger algebras in one dimensional space},
  author={Naruhiko Aizawa},
  journal={Journal of Mathematical Physics},
  year={2011},
  volume={52},
  pages={013509}
}
  • N. Aizawa
  • Published 1 September 2010
  • Mathematics, Physics
  • Journal of Mathematical Physics
Lowest weight modules, in particular, Verma modules over the N=1,2 super Schrodinger algebras in (1 + 1) dimensional spacetime are investigated. The reducibility of the Verma modules is analyzed via explicitly constructed singular vectors. The classification of the irreducible lowest weight modules is given for both massive and massless representations. A vector field realization of the N=1,2 super Schrodinger algebras is also presented. 

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