Geometric aspects of supersymmetry and quantisation of fermions
- 21 August 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (12) , 2633-2639
- https://doi.org/10.1088/0305-4470/16/12/012
Abstract
The authors analyse the geometric content of some aspects of supersymmetry by generalising a procedure of geometric quantisation recently proposed. The method is entirely based on a group, the 'quantum group'; by generalising it to a supergroup they are able to quantise simultaneously bosons and fermions and to exhibit the geometric origin of the so-called covariant derivatives. The paper is restricted to Galilean supersymmetry, but this is not a limitation of the procedure which applies to extended super-Poincare supersymmetry as well.Keywords
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