# $\mathcal{N}=2$ susy hypermultiplet self-CPT?

Is the multiplet given by $$\left( -\frac12,0,0,\frac12 \right)$$ self-CPT conjugate?

There seems to be no common agreement upon that:

• Weinberg (QFT 3, page 47) and many others claim it is not, basing on $SU(2)$ $R$-symmetry reasoning

• Terning (modern susy, page 12) and some others claim it is, provided the fermions transform in a real representation of the gauge group, regardless of $R$-symmetry considerations.

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Let me add that also Wess-Bagger (page 18) say it is CPT complete. –  jj_p Apr 24 '13 at 7:11