| Article | |
| Report number | arXiv:2310.12980 ; ZMP-HH/23-13 ; CERN-TH-2023-183 |
| Title | Treelike structure of symmetry topological field theories and multisector QFTs |
| Related title | SymTrees and Multi-Sector QFTs |
| Author(s) | Baume, Florent (Hamburg U., Inst. Theor. Phys. II) ; Heckman, Jonathan J. (Pennsylvania U., Dept. Math.) ; Hübner, Max (Pennsylvania U., Dept. Math.) ; Torres, Ethan (Pennsylvania U., Dept. Math. ; CERN) ; Turner, Andrew P. (Pennsylvania U., Dept. Math.) ; Yu, Xingyang (New York U., CCPP ; Virginia Tech., Blacksburg) |
| Publication | 2024-05-10 |
| Imprint | 2023-10-19 |
| Number of pages | 53 |
| In: | Phys. Rev. D 109 (2024) 106013 |
| DOI | 10.1103/PhysRevD.109.106013 (publication) |
| Subject category | hep-th ; Particle Physics - Theory ; Mathematical Physics and Mathematics |
| 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. |
| Copyright/License | preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2024-2025 authors (License: CC BY 4.0), sponsored by SCOAP³ |
Corresponding record in: Inspire
Record created 2023-10-21, last modified 2025-09-05
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