In chapter 4 of Bailin & Love,(adsbygoogle = window.adsbygoogle || []).push({}); Supersymmetric gauge field theory and string theory, the authors state that supersymmetry is considered a global symmetry, and we can separately consider it to be a local symmetry. Further, since the supersymmetry algebra contains [itex]P^\mu[/itex], the generator of translations, we would also get local translation invariance, and this is a theory of gravitation, as per GR, and is called supergravity.

I just wanted to ask, that the Poincaré algebra also contains the generator of translations (of course), and if we take that to be a local symmetry, do we just get GR plain and simple? Or something else?

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# Supergravity and local symmetry

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