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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.21862 |
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| _version_ | 1866916664504745984 |
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| author | Lin, Ling Robbins, Daniel Roy, Subham |
| author_facet | Lin, Ling Robbins, Daniel Roy, Subham |
| contents | We investigate the interplay between (-1)-form symmetries and their quantum-dual (d-1)-form counterparts within the framework of Symmetry Topological Field Theories (SymTFTs). In this framework the phenomenon of decomposition -- a d-dimensional quantum field theory with (d-1)-form symmetry being the disjoint union of other theories (or ''universes'') -- arises naturally from manipulations of topological boundary conditions of the SymTFT. We corroborate our findings with various examples, including a generalization of ''instanton-restricted'' 4d Yang-Mills theories with no sum over instanton sectors. Furthermore, we construct a 3d SymTFT with a non-invertible (-1)-form symmetry. The absolute 2d quantum field theory includes a 0-form global symmetry that depends on a parameter whose value gets shifted by the action of the (-1)-form symmetry, and we show that the non-invertibility of the latter is needed to encode this modification of the 0-form symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_21862 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Decomposition and (Non-Invertible) (-1)-Form Symmetries from the Symmetry Topological Field Theory Lin, Ling Robbins, Daniel Roy, Subham High Energy Physics - Theory We investigate the interplay between (-1)-form symmetries and their quantum-dual (d-1)-form counterparts within the framework of Symmetry Topological Field Theories (SymTFTs). In this framework the phenomenon of decomposition -- a d-dimensional quantum field theory with (d-1)-form symmetry being the disjoint union of other theories (or ''universes'') -- arises naturally from manipulations of topological boundary conditions of the SymTFT. We corroborate our findings with various examples, including a generalization of ''instanton-restricted'' 4d Yang-Mills theories with no sum over instanton sectors. Furthermore, we construct a 3d SymTFT with a non-invertible (-1)-form symmetry. The absolute 2d quantum field theory includes a 0-form global symmetry that depends on a parameter whose value gets shifted by the action of the (-1)-form symmetry, and we show that the non-invertibility of the latter is needed to encode this modification of the 0-form symmetry. |
| title | Decomposition and (Non-Invertible) (-1)-Form Symmetries from the Symmetry Topological Field Theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.21862 |