Treelike structure of symmetry topological field theories and multisector QFTs

Baume, Florent; Heckman, Jonathan J.; Hübner, Max; Torres, Ethan; Turner, Andrew P.; Yu, Xingyang

doi:10.1103/PhysRevD.109.106013

Treelike structure of symmetry topological field theories and multisector QFTs

Journal Article · Fri May 10 00:00:00 EDT 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.109.106013· OSTI ID:2349129

; Heckman, Jonathan J.; Hübner, Max; ; ;

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 Society 2024

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0013528

OSTI ID:: 2349129

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 109 Journal Issue: 10; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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