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SU(6) (physics)

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SU(6) is a grand unified theory which includes the Georgi-Glashow SU(5) gauge group.

The fermionic matter content of this model comes in three generations (copies) of

[15\oplus \bar\oplus \bar]
as SU(6) representations.

This gauge group is broken down to the Georgi-Glashow model by a pair of 6H/[\bar_H] Higgs fields.

[SU(6)\begin6_H/\bar_H\\ \longrightarrow \end SU(5)\times U(1)]
The fermions decompose as

[15\rightarrow 10\oplus 5]
[\bar\rightarrow \bar\oplus 1]
The Yukawa coupling [<\bar_H>\bar 15] causes 5 and a [\bar] SU(5)-rep of fermions to pair up and acquire GUT scale masses for each generation.

An adjoint Higgs 35H breaks the model down further to the standard model.

 


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