A Natural Extension of the Bargmann-Fock Representation to Supersymmetric Systems
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.
KeywordsDifferential Form Creation Operator Real Geometry Complete Framework Fermionic Excitation
- 3.U. Nicolai, J. Phys. A9 (1976) 1467.Google Scholar