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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2024)159 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |