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Representation of SU(2)xU(1)

  1. Jul 15, 2013 #1


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    Well, i´m trying to understand this:

    I´ve got a representation of [itex]SU(2)_L\otimes U(1)_Y[/itex] such that the left lepton doublets can be represented as (2, -1) and lepton singlets rights as (1, -2).

    Then I can be left antiparticles bilinear representations as [itex](2,1)\times(2,1)[/itex] or [itex](1,-2)\times(1,-2)[/itex].

    I wonder why, in the first case the possibilities are [itex](1,2)+(3,2)[/itex], and in the second case is [itex](1,-4)[/itex].

    What kind of math operation has been done here?
  2. jcsd
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