# Three-point non-associative supersymmetry generalization and weak version of non-commutative coordinates

@article{Dzhunushaliev2015ThreepointNS, title={Three-point non-associative supersymmetry generalization and weak version of non-commutative coordinates}, author={Vladimir Dzhunushaliev}, journal={arXiv: High Energy Physics - Theory}, year={2015} }

We consider a non-associative generalization of supersymmetry based on three-point associators $\left[ Q_x, Q_y, Q_z \right]$ for $Q_{a, \dot a}$ supersymmetric generators. Such associators are connected with the product $Q_y x_{a \dot a}$. We show that such associators lead to a weak version of non-commutative spacetime: in front of the coordinate commutator there is a prefactor.

## One Citation

### The simplest non-associative generalization of supersymmetry

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Nonassociative generalization of supersymmetry is suggested. 3- and 4-point associators for supersymmetric generators are considered. On the basis of zero Jacobiators for three supersymmetric…

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