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SymTrees and Multi-Sector QFTs

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arxiv 2310.12980 v2 pith:HV4G4A5N submitted 2023-10-19 hep-th math.AT

Florent Baume , Jonathan J. Heckman , Max Hübner , Ethan Torres , Andrew P. Turner , Xingyang Yu This is my paper · ORCID
classification hep-thmath.AT
keywords dimensionalqftssymmetriestheoryassociatedfieldjunctionslarge
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abstract

The global symmetries of a $D$-dimensional 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 non-topological junctions. In string-realized multi-sector QFTs, these junctions are smoothed out in the extra-dimensional 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.

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Cited by 11 Pith papers

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