Cornering Relative Symmetry Theories
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910573923401728 |
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| author | Cvetič, Mirjam Donagi, Ron Heckman, Jonathan J. Hübner, Max Torres, Ethan |
| author_facet | Cvetič, Mirjam Donagi, Ron Heckman, Jonathan J. Hübner, Max Torres, Ethan |
| contents | The symmetry data of a $d$-dimensional quantum field theory (QFT) can often be captured in terms of a higher-dimensional symmetry topological field theory (SymTFT). In top down (i.e., stringy) realizations of this structure, the QFT in question is localized in a higher-dimensional bulk. In many cases of interest, however, the associated $(d+1)$-dimensional bulk is not fully gapped and one must instead consider a filtration of theories to reach a gapped bulk in $D = d+m$ dimensions. Overall, this leads us to a nested structure of relative symmetry theories which descend to coupled edge modes, with the original QFT degrees of freedom localized at a corner of this $D$-dimensional bulk system. We present a bottom up characterization of this structure and also show how it naturally arises in a number of string-based constructions of QFTs with both finite and continuous symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_12600 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cornering Relative Symmetry Theories Cvetič, Mirjam Donagi, Ron Heckman, Jonathan J. Hübner, Max Torres, Ethan High Energy Physics - Theory Algebraic Topology The symmetry data of a $d$-dimensional quantum field theory (QFT) can often be captured in terms of a higher-dimensional symmetry topological field theory (SymTFT). In top down (i.e., stringy) realizations of this structure, the QFT in question is localized in a higher-dimensional bulk. In many cases of interest, however, the associated $(d+1)$-dimensional bulk is not fully gapped and one must instead consider a filtration of theories to reach a gapped bulk in $D = d+m$ dimensions. Overall, this leads us to a nested structure of relative symmetry theories which descend to coupled edge modes, with the original QFT degrees of freedom localized at a corner of this $D$-dimensional bulk system. We present a bottom up characterization of this structure and also show how it naturally arises in a number of string-based constructions of QFTs with both finite and continuous symmetries. |
| title | Cornering Relative Symmetry Theories |
| topic | High Energy Physics - Theory Algebraic Topology |
| url | https://arxiv.org/abs/2408.12600 |