# 331 model

The 331 model is an extension of the electroweak gauge symmetry from ${\displaystyle SU(2)_{W}\times U(1)_{Y}}$ to ${\displaystyle SU(3)_{L}\times U(1)_{X}}$ with ${\displaystyle SU(2)_{W}\subset SU(3)_{W}}$ and the hypercharge ${\displaystyle Y=\beta T_{8}+IX}$ and the electric charge ${\displaystyle Q=Y/2+T_{3}/2}$ where T3 and T8 are the Gell-Mann matrices of SU(3)L and β and I are parameters of the model. The name 331 comes from the full gauge symmetry group ${\displaystyle SU(3)_{C}\times SU(3)_{L}\times U(1)_{X}}$.