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Dec 3, 2017 at 22:06 comment added coconut @DanielC Hmm, it seems strange to me to even talk about spinors (or spinorial fields) acting on anything. What do you mean, exactly?
Dec 3, 2017 at 21:23 comment added DanielC It is misleading to even wrong to think/say that spinors (better said spinorial fields) do not act on flat/curved spacetime. The concept of spinor bundle (briefly touched upon by R. Wald in his chapter 13) explains everything, starting with the SL(2,C) principle fiber bundle over spacetime.
Dec 3, 2017 at 12:31 comment added coconut @MoziburUllah Yes, or being a bit more precise: the spinor representations do not correspond to the space-time or it tangent spaces
Dec 3, 2017 at 12:25 comment added Mozibur Ullah +1: this suggests that spinors don't act on space time, is that right?
Dec 3, 2017 at 12:23 history answered coconut CC BY-SA 3.0