Small nonassociative corrections to the SUSY generators and cosmological constant

Abstract

Small nonassociative corrections for the SUSY operators [Formula: see text] are considered. The smallness is controlled by the ratio of the Planck length and a characteristic length [Formula: see text]. Corresponding corrections of the momentum operator arising from the anticommutator of the SUSY operators are considered. The momentum operator corrections are defined via the anticommutator of the unperturbed SUSY operators [Formula: see text] and nonassociative corrections [Formula: see text]. Choosing different anticommutators, one can obtain either a modified or [Formula: see text]-deformed commutator of position [Formula: see text] and momentum operators [Formula: see text].

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Identifiers

DOI

10.1142/s0219887817500724

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