Open Access
2005 On the Supersymmetry Group of the Classical Bose-Fermi Oscillator
Tilmann Glimm, Rudolf Schmid
J. Geom. Symmetry Phys. 4: 45-58 (2005). DOI: 10.7546/jgsp-4-2005-45-58


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.


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Tilmann Glimm. Rudolf Schmid. "On the Supersymmetry Group of the Classical Bose-Fermi Oscillator." J. Geom. Symmetry Phys. 4 45 - 58, 2005.


Published: 2005
First available in Project Euclid: 20 May 2017

zbMATH: 1136.81378
MathSciNet: MR2211576
Digital Object Identifier: 10.7546/jgsp-4-2005-45-58

Rights: Copyright © 2005 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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