On completeness and generalized symmetries in quantum field theory

@article{Casini2021OnCA,
  title={On completeness and generalized symmetries in quantum field theory},
  author={Horacio Casini and Javier M. Mag{\'a}n},
  journal={Modern Physics Letters A},
  year={2021}
}
We review a notion of completeness in QFT arising from the analysis of basic properties of the set of operator algebras attached to regions. In words, this completeness asserts that the physical observable algebras produced by local degrees of freedom are the maximal ones compatible with causality. We elaborate on equivalent statements to this completeness principle such as the non-existence of generalized symmetries and the uniqueness of the net of algebras. We clarify that for non-complete… 
Generalized Symmetries of the Graviton
We find the set of generalized symmetries associated with the free graviton theory in four dimensions. These are generated by gauge invariant topological operators that violate Haag duality in

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