Monopole star products are non-alternative

Martin Bojowald, Suddhasattwa Brahma, Umut Büyükçam, Thomas Strobl

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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.

Original languageEnglish (US)
Article number28
JournalJournal of High Energy Physics
Volume2017
Issue number4
DOIs
StatePublished - Apr 1 2017

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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