This question is inspired by Are Photons Goldstone Bosons?. And recently in Generalized Global Symmetries, photon was interpreted as Goldstone boson for generalized symmetry (see also my answer for question about photons and David Tong lectures).
Is such interpretation for massless spin 2 particles? What is corresponding global generalized symmetry? (But there is statement, that there aren't global symmetries in gravity)
(What about spin 3, 4 ... ? What about spin 1/2, 3/2 ...?)
