Monopole star products are non-alternative
Mathematical Physics
2017-06-27 v1 High Energy Physics - Theory
math.MP
Quantum Physics
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.
Cite
@article{arxiv.1610.08359,
title = {Monopole star products are non-alternative},
author = {Martin Bojowald and Suddhasattwa Brahma and Umut Buyukcam and Thomas Strobl},
journal= {arXiv preprint arXiv:1610.08359},
year = {2017}
}
Comments
14 pages