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A Natural Extension of the Bargmann-Fock Representation to Supersymmetric Systems

  • H.-P. Thienel
Conference paper

Abstract

The use of differential forms on a D-dimensional, holomorphic manifold naturally extends the Bargmann-Fock representation1,2, where only 0-forms are used. The resulting combined bosonic/fermionic Fock space corresponds to the D-dimensional supersymmetric oscillator3,4. The complete framework will be published soon. A preliminary version based on real geometry, containing the essential conceptual and technical ingredients, has already been published5.

Keywords

Differential Form Creation Operator Real Geometry Complete Framework Fermionic Excitation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    V.A. Lock, Z. Phys. 49 (1928) 339.CrossRefGoogle Scholar
  2. 2.
    V. Bargmann, Commun. Pure and Appl. Math. 14 (1961) 187.MathSciNetMATHGoogle Scholar
  3. 3.
    U. Nicolai, J. Phys. A9 (1976) 1467.Google Scholar
  4. 4.
    E. Witten, Nucl. Phys. B185 (1981) 513.CrossRefGoogle Scholar
  5. 5.
    H-P. Thienel, J. Math. Phys. 36 (1995) 1192.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • H.-P. Thienel
    • 1
  1. 1.Fachbereich PhysikUniversität SiegenSiegenGermany

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