Non-invertible surface defects in 2+1d QFTs from half spacetime gauging
Abstract We study duality defects in 2+1d theories with ℤ N 0 × ℤ N 1 $$ {\mathbb{Z}}_N^{(0)}\times {\mathbb{Z}}_N^{(1)} $$ global symmetry and trivial mixed ’t Hooft anomaly. By gauging these symmetries simultaneously in half of the spacetime, we define duality defects for theories that are self-du...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-11-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP11(2024)159 |
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| author | Wei Cui Babak Haghighat Lorenzo Ruggeri |
| author_facet | Wei Cui Babak Haghighat Lorenzo Ruggeri |
| author_sort | Wei Cui |
| collection | DOAJ |
| description | Abstract We study duality defects in 2+1d theories with ℤ N 0 × ℤ N 1 $$ {\mathbb{Z}}_N^{(0)}\times {\mathbb{Z}}_N^{(1)} $$ global symmetry and trivial mixed ’t Hooft anomaly. By gauging these symmetries simultaneously in half of the spacetime, we define duality defects for theories that are self-dual under gauging. We calculate the fusion rules involving duality defects and show that they obey a fusion 2-category. We also construct the corresponding symmetry topological field theory, obtained from a four-dimensional BF theory gauging a ℤ N EM $$ {\mathbb{Z}}_N^{\textrm{EM}} $$ electric-magnetic symmetry. Furthermore, we provide explicit examples of such duality defects in U(1) × U(1) gauge theories and in more general product theories. Finally, we find duality defects in non-Lagrangian theories obtained by compactification of 6d N $$ \mathcal{N} $$ = (2, 0) SCFTs of type A N−1 on various three-manifolds. |
| format | Article |
| id | doaj-art-ecc66e4f9dee4a05bb6762d98734ac5d |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-ecc66e4f9dee4a05bb6762d98734ac5d2024-12-08T12:10:07ZengSpringerOpenJournal of High Energy Physics1029-84792024-11-0120241116210.1007/JHEP11(2024)159Non-invertible surface defects in 2+1d QFTs from half spacetime gaugingWei Cui0Babak Haghighat1Lorenzo Ruggeri2Beijing Institute of Mathematical Sciences and Applications (BIMSA)Beijing Institute of Mathematical Sciences and Applications (BIMSA)Yau Mathematical Sciences Center, Tsinghua UniversityAbstract We study duality defects in 2+1d theories with ℤ N 0 × ℤ N 1 $$ {\mathbb{Z}}_N^{(0)}\times {\mathbb{Z}}_N^{(1)} $$ global symmetry and trivial mixed ’t Hooft anomaly. By gauging these symmetries simultaneously in half of the spacetime, we define duality defects for theories that are self-dual under gauging. We calculate the fusion rules involving duality defects and show that they obey a fusion 2-category. We also construct the corresponding symmetry topological field theory, obtained from a four-dimensional BF theory gauging a ℤ N EM $$ {\mathbb{Z}}_N^{\textrm{EM}} $$ electric-magnetic symmetry. Furthermore, we provide explicit examples of such duality defects in U(1) × U(1) gauge theories and in more general product theories. Finally, we find duality defects in non-Lagrangian theories obtained by compactification of 6d N $$ \mathcal{N} $$ = (2, 0) SCFTs of type A N−1 on various three-manifolds.https://doi.org/10.1007/JHEP11(2024)159Discrete SymmetriesGlobal SymmetriesDuality in Gauge Field TheoriesWilson, ’t Hooft and Polyakov loops |
| spellingShingle | Wei Cui Babak Haghighat Lorenzo Ruggeri Non-invertible surface defects in 2+1d QFTs from half spacetime gauging Journal of High Energy Physics Discrete Symmetries Global Symmetries Duality in Gauge Field Theories Wilson, ’t Hooft and Polyakov loops |
| title | Non-invertible surface defects in 2+1d QFTs from half spacetime gauging |
| title_full | Non-invertible surface defects in 2+1d QFTs from half spacetime gauging |
| title_fullStr | Non-invertible surface defects in 2+1d QFTs from half spacetime gauging |
| title_full_unstemmed | Non-invertible surface defects in 2+1d QFTs from half spacetime gauging |
| title_short | Non-invertible surface defects in 2+1d QFTs from half spacetime gauging |
| title_sort | non invertible surface defects in 2 1d qfts from half spacetime gauging |
| topic | Discrete Symmetries Global Symmetries Duality in Gauge Field Theories Wilson, ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP11(2024)159 |
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