what does the following statement mean?
"while the charged fermions are in chiral representations of the full gauge group $SU(3)_C\times SU(2)_L\times U(1)_Y$ , they are in vector-like representations of the $SU(3)_C \times U(1)_{EM}$ group"
"while the charged fermions are in chiral representations of the full gauge group $SU(3)_C\times SU(2)_L\times U(1)_Y$ , they are in vector-like representations of the $SU(3)_C \times U(1)_{EM}$ group"