SU(6) (physics)

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

as SU(6) representations.

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

The fermions decompose as

The Yukawa coupling ${\displaystyle {\bar {6}}{\bar {6}}_{H}15}$ causes 5 and a ${\displaystyle {\bar {5}}}$ SU(5)-rep of fermions to pair up and acquire GUT scale masses for each generation.

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