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SUSY multiplets and CPT

  1. Jul 17, 2012 #1
    When building the massless supermultiplets in N=1 supersymmetry one needs to add the CPT conjugate states to render the theory CPT invariant.

    My question is, what do they mean by "CPT-conjugate"? Is it just the state with opposite helicity? Is it the state with opposite C, P and T? Or is it something else?

    I wonder about this because when working with a massless chiral supermultiplet, it turns out that the real part of the complex scalar field is a real scalar field, but the imaginary part of the complex field is a real pseudoscalar field: the supersymmetry transformation in Weyl spinor notation is


    which implies in Majorana notation that

    [itex]\delta a = \frac{1}{\sqrt{2}}\overline{\epsilon}\Psi[/itex]
    [itex]\delta b = \frac{i}{\sqrt{2}}\overline{\epsilon}\gamma_{5} \Psi [/itex]

    where [itex]\phi=(a+ib)/\sqrt{2}[/itex]
  2. jcsd
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