A generalization of the Bargmann - Fock representation to supersymmetry

@article{Thienel1995AGO,
  title={A generalization of the Bargmann - Fock representation to supersymmetry},
  author={Hans-Peter Thienel},
  journal={Journal of Physics A},
  year={1995},
  volume={29},
  pages={6983-6989}
}
In the Bargmann - Fock representation the coordinates act as bosonic creation operators while the partial derivatives act as annihilation operators on holomorphic 0-forms as states of a D-dimensional bosonic oscillator. Also considering p-forms and further geometrical objects as the exterior derivative and Lie derivatives on a holomorphic , we end up with an analogous representation for the D-dimensional supersymmetric oscillator. In particular, the supersymmetry multiplet structure of the… Expand
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Leibniz algebras of Heisenberg type
  • 12
  • PDF

References

SHOWING 1-10 OF 22 REFERENCES
Supersymmetry in quantum mechanics
  • 198
  • PDF
Differential analysis on complex manifolds
  • 974
Dynamical Breaking of Supersymmetry
  • 2,388
Supersymmetry and Morse theory
  • 1,272
  • PDF
Generalized Coherent States and Their Applications
  • 2,922
Supersymmetry and spin systems
  • 138
  • PDF
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