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The global symmetries of a $D$-dimensional quantum field theory (QFT) can, in many cases, be captured in terms of a ( $D+1$)-dimensional symmetry topological field theory (SymTFT). In this work we construct a ( $D+1$)-dimensional theory which governs the symmetries of QFTs with multiple sectors which have connected correlators that admit a decoupling limit. The associated symmetry field theory decomposes into a SymTree, namely a treelike structure of SymTFTs fused along possibly nontopological junctions. In string-realized multisector QFTs, these junctions are smoothed out in the extradimensional geometry, as we demonstrate in examples. We further use this perspective to study the fate of higher-form symmetries in the context of holographic large $M$averaging where the topological sectors of different large $M$replicas become dressed by additional extended operators associated with the SymTree. Published by the American Physical Society2024