Half-Spacetime Gauging of 2-Group Symmetry in 3d
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| Format: | Preprint |
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2026
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| _version_ | 1866913161003663360 |
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| author | Bason, Davide Cui, Wei Ruggeri, Lorenzo |
| author_facet | Bason, Davide Cui, Wei Ruggeri, Lorenzo |
| contents | We construct a class of non-invertible duality defects, in (2+1)d quantum field theories, arising from half-spacetime gauging of a 2-group symmetry. Starting from a parent theory with two discrete and Abelian 0-form symmetries and a prescribed mixed anomaly, we show that gauging one factor produces a theory with a 2-group symmetry, while gauging the other yields a theory with a non-invertible 0-form symmetry, whose fusion rules we derive explicitly. When the parent theory possesses three such symmetries with a cyclic anomaly structure, gauging different factors can produce mutually dual theories and the half-spacetime gauging of the 2-group is implemented by a non-invertible duality defect, whose fusion rules we obtain. We illustrate the construction with explicit examples, including a $U(1)\times U(1)\times U(1)$ gauge theory and a general class of product theories. We also include a self-contained pedagogical introduction to the cohomological tools employed throughout the article. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_06287 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Half-Spacetime Gauging of 2-Group Symmetry in 3d Bason, Davide Cui, Wei Ruggeri, Lorenzo High Energy Physics - Theory We construct a class of non-invertible duality defects, in (2+1)d quantum field theories, arising from half-spacetime gauging of a 2-group symmetry. Starting from a parent theory with two discrete and Abelian 0-form symmetries and a prescribed mixed anomaly, we show that gauging one factor produces a theory with a 2-group symmetry, while gauging the other yields a theory with a non-invertible 0-form symmetry, whose fusion rules we derive explicitly. When the parent theory possesses three such symmetries with a cyclic anomaly structure, gauging different factors can produce mutually dual theories and the half-spacetime gauging of the 2-group is implemented by a non-invertible duality defect, whose fusion rules we obtain. We illustrate the construction with explicit examples, including a $U(1)\times U(1)\times U(1)$ gauge theory and a general class of product theories. We also include a self-contained pedagogical introduction to the cohomological tools employed throughout the article. |
| title | Half-Spacetime Gauging of 2-Group Symmetry in 3d |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.06287 |