Colemans theorem states that there are no Goldstone Bosons in $d=2$ spacetime dimensions : https://inspirehep.net/literature/83738 because there is no spontaneous symmetry breaking.
However I have read that for spacetime symmetries there can be a spontaneous symmetry breaking even in $d=2$ and thus Goldstone modes.
My question is:
Where in the proof of Colemans theorem does he assume the symmetry to be global or why does the proof not work for spacetime symmetries?
