Nonassociative generalization of supersymmetry

Vladimir Dzhunushaliev, Dept. Theor. and Nucl. Phys., KazNU, Almaty, Kazakhstan

We consider a nonassociative generalization of supersymmetry: supersymmetry generators as nonassociative ones are considered. Associators for the product of three and four multipliers are defined. It is shown that using a special choice of parameters the associator of the product of four supersymmetry generators is connected with the angular momentum operator. The connection of operators decomposition with the hidden variables theory and alternative quantum mechanics is discussed.