Quark structure and octonions

Murat Günaydin, Feza Gürsey

Research output: Contribution to journalArticlepeer-review

248 Scopus citations

Abstract

The octonion (Cayley) algebra is studied in a split basis by means of a formalism that brings out its quark structure. The groups SO(8), SO(7), and G2 are represented by octonions as well as by 8 × 8 matrices and the principle of triality is studied in this formalism. Reduction is made through the physically important subgroups SU(3) and SU(2) SU(2) of G2, the automorphism group of octonions.

Original languageEnglish (US)
Pages (from-to)1651-1667
Number of pages17
JournalJournal of Mathematical Physics
Volume14
Issue number11
DOIs
StatePublished - 1973

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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