Journal of Geometry and Symmetry in Physics

On the Supersymmetry Group of the Classical Bose-Fermi Oscillator

Tilmann Glimm and Rudolf Schmid

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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.

Article information

Source
J. Geom. Symmetry Phys., Volume 4 (2005), 45-58.

Dates
First available in Project Euclid: 20 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.jgsp/1495245722

Digital Object Identifier
doi:10.7546/jgsp-4-2005-45-58

Mathematical Reviews number (MathSciNet)
MR2211576

Zentralblatt MATH identifier
1136.81378

Citation

Glimm, Tilmann; Schmid, Rudolf. On the Supersymmetry Group of the Classical Bose-Fermi Oscillator. J. Geom. Symmetry Phys. 4 (2005), 45--58. doi:10.7546/jgsp-4-2005-45-58. https://projecteuclid.org/euclid.jgsp/1495245722


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