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{6}\oplus \bar{6}

as SU(6) representations.

This gauge group is broken down to the Georgi-Glashow model by a pair of 6H/\bar{6}_H Higgs fields.

SU(6)\begin{matrix}6_H/\bar{6}_H\\ \longrightarrow \end{matrix} SU(5)\times U(1)

The fermions decompose as

15\rightarrow 10\oplus 5
\bar{6}\rightarrow \bar{5}\oplus 1

The Yukawa coupling <\bar{6}_H>\bar{6} 15 causes 5 and a \bar{5} 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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