Abstract
Applying the concept of a momentum map for supersymplectic supervectorspaces to the one-dimensional Bose-Fermi oscillator, we show that the largest symmetry group that admits a momentum map is the identity component of the intersection of the orthosymplectic group OSp(2|2) and the group of super-symplectic transformations. This gives a systematic characterization of a certain class of odd supersymmetry transformations that were originally introduced in an ad hoc way.
Citation
Tilmann Glimm. Rudolf Schmid. "On the Supersymmetry Group of the Classical Bose-Fermi Oscillator." J. Geom. Symmetry Phys. 4 45 - 58, 2005. https://doi.org/10.7546/jgsp-4-2005-45-58
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