Abstract
Non-associative algebras appear in some quantum-mechanical systems, for instance if a charged particle in a distribution of magnetic monopoles is considered. Using methods of deformation quantization it is shown here, that algebras for such systems cannot be alternative, i.e. their associator cannot be completely anti-symmetric.
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ArXiv ePrint: 1610.08359
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Bojowald, M., Brahma, S., Büyükçam, U. et al. Monopole star products are non-alternative. J. High Energ. Phys. 2017, 28 (2017). https://doi.org/10.1007/JHEP04(2017)028
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DOI: https://doi.org/10.1007/JHEP04(2017)028