• Corpus ID: 119135501

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

  title={Three-point non-associative supersymmetry generalization and weak version of non-commutative coordinates},
  author={Vladimir Dzhunushaliev},
  journal={arXiv: High Energy Physics - Theory},
  • V. Dzhunushaliev
  • Published 27 March 2015
  • Mathematics
  • arXiv: High Energy Physics - Theory
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. 
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