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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 ...?)

Nikita
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    The answer is yes, but to show it at the full non-linear level is a little too technical for a post here. You can find the details e.g. here https://arxiv.org/abs/1412.6098 . For the linear used version of the spin 2 graviton (as well as the higher spins) it is much simpler to show that they may be thought as Goldstones, if I find time in the next few days I will post an answer. – TwoBs Jan 04 '20 at 08:38
  • Thank you! It is very interesting. What do you think about interpretation through spontaneous breaking of some generalized symmetry? – Nikita Jan 04 '20 at 09:24

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