Topological Aspects of Parasupersymmetry

Details Topological Aspects of Parasupersymmetry Topological Aspects of Parasupersymmetry

1995-06-22

arxiv.org/abs/hep-th/9506153v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX File, 10 pages

Scientific paper

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.

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