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SO(12)

Contents

Contents

Idea

SO(12)SO(12) is the special orthogonal group in dimension 12.

Spin(12)Spin(12) is the spin group in dimension 12.

In the classification of simple Lie groups this is the entry D6.

rotation groups in low dimensions:

Dynkin labelsp. orth. groupspin grouppin groupsemi-spin group
SO(2)Spin(2)Pin(2)
B1SO(3)Spin(3)Pin(3)
D2SO(4)Spin(4)Pin(4)
B2SO(5)Spin(5)Pin(5)
D3SO(6)Spin(6)
B3SO(7)Spin(7)
D4SO(8)Spin(8)SO(8)
B4SO(9)Spin(9)
D5SO(10)Spin(10)
B5SO(11)Spin(11)
D6SO(12)Spin(12)
\vdots\vdots
D8SO(16)Spin(16)SemiSpin(16)
\vdots\vdots
D16SO(32)Spin(32)SemiSpin(32)

see also


References

General

(…)

As a grand unified gauge group

Discussion as a gauge group in grand unified theory (see there):

  • S. Rajpoot and P. Sithikong, Implications of the SO(12)SO(12) gauge symmetry for grand unification, Phys. Rev. D 23, 1649 (1981) (doi:10.1103/PhysRevD.23.1649)

  • Takaaki Nomura and Joe Sato, Standard(-like) Model from an SO(12)SO(12) Grand Unified Theory in six-dimensions with S 2S^2 extra-space, Nucl.Phys.B811:109-122, 2009 (arXiv:0810.0898)

  • Takaaki Nomura, Physics beyond the standard model with S 2S^2 extra-space, 2009 (pdf, pdf)

  • Cheng-Wei Chiang, Takaaki Nomura, Joe Sato, Gauge-Higgs unification models in six dimensions with S 2/ 2S^2/\mathbb{Z}_2 extra space and GUT gauge symmetry (arXiv:1109.5835)

Created on August 29, 2019 at 05:08:50. See the history of this page for a list of all contributions to it.