Supersymmetric Quantum Mechanics and Super-Lichnerowicz Algebras

@article{Hallowell2007SupersymmetricQM,
  title={Supersymmetric Quantum Mechanics and Super-Lichnerowicz Algebras},
  author={K. E. Hallowell and Andrew Waldron},
  journal={Communications in Mathematical Physics},
  year={2007},
  volume={278},
  pages={775-801}
}
We present supersymmetric, curved space, quantum mechanical models based on deformations of a parabolic subalgebra of osp(2p+2|Q). The dynamics are governed by a spinning particle action whose internal coordinates are Lorentz vectors labeled by the fundamental representation of osp(2p|Q). The states of the theory are tensors or spinor-tensors on the curved background while conserved charges correspond to the various differential geometry operators acting on these. The Hamiltonian generalizes… 

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