Nonassociatuve generalization of supersymmetry

Abstract

A nonassociative generalization of supersymmetry is studied, where supersymmetry generators are considered to be the nonassociative ones. Associators for the product of three and four multipliers are defined. Using a special choice of the parameters, it is shown that the associator of the product of four supersymmetry generators is connected with the angular momentum operator. The connection of operator decomposition to the hidden variables theory and alternative quantum mechanics is discussed.