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What does it mean to say to say that the electroweak interaction is described by a gauge field theory based on the [tex]SU(2)_{L}\times[/tex][tex]U(1)_Y[/tex] symmetry group?

I know that SU(2) is a group of unitary matrices and U(1) is the circle group but I don't really see what the sentence means. I haven't taken any quantum mechanics but an doing research on Higgs decays and would like to gain a bit more understanding.

I know that SU(2) is a group of unitary matrices and U(1) is the circle group but I don't really see what the sentence means. I haven't taken any quantum mechanics but an doing research on Higgs decays and would like to gain a bit more understanding.

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