Supersymmetric quantum mechanics and the index theorem
Authors:
R. H. Rietdijk
Affiliation:
NIKHEF-H, P.O. Box 41882, 1009 DB, Amsterdam, The Netherlands
Abstract:
We consider the classical mechanics of the spinning particle and investigate which Abelian interactions can be added without breaking supersymmetry. A quantum theory is presented. The well known index theorem for the Dirac operator is extended to take into account the effect of anti-symmetric Abelian tensor fields. Furthermore interactions with non-Abelian anti-symmetric tensor fields are investigated. It turns out in both cases that these fields do not give any non-trivial contributions to the index.