Spinor representation of $SO(d+1,1)$

Question

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 $SO(d+1,1)$.

This post imported from StackExchange Physics at 2014-05-04 11:24 (UCT), posted by SE-user tanzhongm

Comments

See the appendix A.7 of Sohnius' Physics Reports article "Introducing Supersymmetry" (a simple google search usually leads to a pdf file of this article that is not blocked by a firewall).

Answer 1

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.

This post imported from StackExchange Physics at 2014-05-04 11:25 (UCT), posted by SE-user user40085

Comments

Do you happen to have the exact pages? It seems that whichever Freedman and Proeyen had concerned up to spin-3/2 tensors.

This post imported from StackExchange Physics at 2014-05-04 11:25 (UCT), posted by SE-user tanzhongm