E8 generators as bilinear fermions and its maximal subgroups

Mehmet Koca*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


E8 algebra constructed as bilinear fermions in the bases of SU(9) and [SU(3)]4 is used to obtain the generators in the bases of the maximal subgroups SO(16), E7×SU(2), and SU(5)×SU(5). The representation of the generators in the Tits subgroup F4×G2 is also obtained using the [SU(3)]4 basis. Simple methods are developed to go from one basis to the other bases. Generators of the exceptional subgroups E7, E6, and F4 are decomposed with respect to their respective Tits subgroups SP(6)×G2, SU(3)×G2, and SO(3)×G2. The possible roles of these subgroups in the symmetry breaking of E8 are merely indicated.

Original languageEnglish
Pages (from-to)2645-2653
Number of pages9
JournalPhysical Review D
Issue number10
Publication statusPublished - 1981
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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