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I have been looking over the internet for a resource that tells me the number of dimensions of a spin $s-1$ spinor representation of $SO(d+1,1)$, but unfortunately have yet to be able to find it. In some sense, this dimension also tells us the dimension of a rank $s-1$ Killing spinor of $SO(d+1,1)$.

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  • $\begingroup$ You can find this kind of information in textbooks on supergravity, for instance the one by Daniel Z. Freedman and Antoine Van Proeyen, chapter 3. $\endgroup$ – Antoine Apr 30 '14 at 7:54
  • $\begingroup$ Do you happen to have the exact pages? It seems that whichever Freedman and Proeyen had concerned up to spin-3/2 tensors. $\endgroup$ – tanzhongm Apr 30 '14 at 17:30

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