Abstract
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 language | English |
|---|---|
| Pages (from-to) | 2645-2653 |
| Number of pages | 9 |
| Journal | Physical Review D |
| Volume | 24 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 1981 |
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- Physics and Astronomy (miscellaneous)
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E8 generators as bilinear fermions and its maximal subgroups. / Koca, Mehmet.
In: Physical Review D, Vol. 24, No. 10, 1981, p. 2645-2653.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - E8 generators as bilinear fermions and its maximal subgroups
AU - Koca, Mehmet
PY - 1981
Y1 - 1981
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevD.24.2645
DO - 10.1103/PhysRevD.24.2645
M3 - Article
VL - 24
SP - 2645
EP - 2653
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 0556-2821
IS - 10
ER -