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Topological Aspects of Parasupersymmetry

High Energy Physics - Theory 2007-05-23 v1

Abstract

Parasupersymmetric quantum mechanics is exploited to introduce a topological invariant associated with a pair of parameter dependent Fredholm (respectively elliptic differential) operators satisfying two compatibility conditions. An explicit algebraic expression for this topological invariant is provided. The latter identifies the parasupersymmetric topological invariant with the sum of the analytic (Atiyah-Singer) indices of the corresponding operators.

Keywords

Cite

@article{arxiv.hep-th/9506153,
  title  = {Topological Aspects of Parasupersymmetry},
  author = {Ali Mostafazadeh},
  journal= {arXiv preprint arXiv:hep-th/9506153},
  year   = {2007}
}

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LaTeX File, 10 pages