Boundary SymTFT
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914009217761280 |
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| author | Bhardwaj, Lakshya Copetti, Christian Pajer, Daniel Schafer-Nameki, Sakura |
| author_facet | Bhardwaj, Lakshya Copetti, Christian Pajer, Daniel Schafer-Nameki, Sakura |
| contents | We study properties of boundary conditions (BCs) in theories with categorical (or non-invertible) symmetries. We describe how the transformation properties, or (generalized) charges, of BCs are captured by topological BCs of Symmetry Topological Field Theory (SymTFT), which is a topological field theory in one higher spacetime dimension. As an application of the SymTFT chracterization, we discuss the symmetry properties of boundary conditions for (1+1)d gapped and gapless phases. We provide a number of concrete examples in spacetime dimensions $d=2,3$. We furthermore expand the lattice description for (1+1)d anyon chains with categorical symmetries to include boundary conditions carrying arbitrary 1-charges under the symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02166 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundary SymTFT Bhardwaj, Lakshya Copetti, Christian Pajer, Daniel Schafer-Nameki, Sakura High Energy Physics - Theory Strongly Correlated Electrons Mathematical Physics Category Theory We study properties of boundary conditions (BCs) in theories with categorical (or non-invertible) symmetries. We describe how the transformation properties, or (generalized) charges, of BCs are captured by topological BCs of Symmetry Topological Field Theory (SymTFT), which is a topological field theory in one higher spacetime dimension. As an application of the SymTFT chracterization, we discuss the symmetry properties of boundary conditions for (1+1)d gapped and gapless phases. We provide a number of concrete examples in spacetime dimensions $d=2,3$. We furthermore expand the lattice description for (1+1)d anyon chains with categorical symmetries to include boundary conditions carrying arbitrary 1-charges under the symmetry. |
| title | Boundary SymTFT |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Mathematical Physics Category Theory |
| url | https://arxiv.org/abs/2409.02166 |