SymTrees and Multi-Sector QFTs
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866913213739696128 |
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| author | Baume, Florent Heckman, Jonathan J. Hübner, Max Torres, Ethan Turner, Andrew P. Yu, Xingyang |
| author_facet | Baume, Florent Heckman, Jonathan J. Hübner, Max Torres, Ethan Turner, Andrew P. Yu, Xingyang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_12980 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | SymTrees and Multi-Sector QFTs Baume, Florent Heckman, Jonathan J. Hübner, Max Torres, Ethan Turner, Andrew P. Yu, Xingyang High Energy Physics - Theory Algebraic Topology 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. |
| title | SymTrees and Multi-Sector QFTs |
| topic | High Energy Physics - Theory Algebraic Topology |
| url | https://arxiv.org/abs/2310.12980 |