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Is integrability necessary for the Amplituhedron?

It is well known that there exist mappings between operators in N = 4 Super Yang–Mills and spin chain states making the theory Bethe Ansatz integrable. Is integrability a necessity for the Amplituhedron? Most QFTs are not integrable. Does Nima Arkani-Hamed, et al. claim to be able to extend the Amplituhedron to generic QFTs? Is then maybe integrability somehow hidden in the structure of all QFTs and the ones which are not integrable emerge as certain limits of the underlying Amplituhedron?

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