Supersymmetric quantum mechanics and the index theorem
Journal of Geometry and Physics(1993)
摘要
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.
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关键词
supersymmetric quantum mechanics,index theorem
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