Higher-Derivative Supersymmetry and the Witten Index

Abstract

Higher-derivative generalization of the supersymmetric quantum mechanics is proposed. It is formally based on the standard superalgebra but supercharges involve differential operators of the order $n$. As a result, their anticommutator entails polynomial of a Hamiltonian. The Witten index does not characterize spontaneous supersymmetry breaking in such models.

9 pp, Latex, UdeM-LPN-TH-129/92

References in corpus (2)

• Exactly Solvable Potentials and Quantum Algebras
• Deformed Conformal and Supersymmetric Quantum Mechanics

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