Higher-Derivative Supersymmetry and the Witten Index
A. A. Andrianov, M. V. Ioffe, V. P. Spiridonov
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.
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