Proposal for symmetry topological field theories and symmetry theories from holography

We propose an embedding of the symmetry topological field theory (symTFT) construction in (finite cutoff) holography. The proposal passes several nontrivial consistency checks reproducing the expected symTFTs in various cases, including the recently discussed symTFT for the 1-form symmetry of 4D <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi mathvariant="script">N</a:mi> <a:mo>=</a:mo> <a:mn>4</a:mn> </a:math> super Yang-Mills (SYM). Moreover, we comment on the possibility of unifying the symTFT and the symmetry theory (symTh) descriptions via the democratic formulation of supergravity, using the 4d <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"> <d:mi mathvariant="script">N</d:mi> <d:mo>=</d:mo> <d:mn>4</d:mn> </d:math> SYM theory as an example.