Parasupersymmetric Quantum Mechanics of Order 3 and a Generalized Witten Index

Details Parasupersymmetric Quantum Mechanics of Order 3 and a Generalized Witten Index Parasupersymmetric Quantum Mechanics of Order 3 and a Generalized Witten Index

2004-07-11

arxiv.org/abs/math-ph/0407019v1

Physics

Mathematical Physics

Scientific paper

10.1142/S0217732305017846

In this paper we generalize the Rubakov-Spiridonov parasupersymmetry algebra
to the order 3 case. We also generalize the notion of the Witten index, and we
provide a class of models satisfying our parasupersymmetry algebra. Finally, we
show that there is a correspondence between the Hamiltonian and the index in
our class of models.

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