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Non-Invertible Surface Defects in 2+1d QFTs from Half Spacetime Gauging

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arxiv 2406.09261 v2 pith:3AMN44GN submitted 2024-06-13 hep-th

Wei Cui , Babak Haghighat , Lorenzo Ruggeri This is my paper · ORCID
classification hep-th
keywords defectsdualitytheoriesgaugingfusionhalfspacetimesymmetry
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study duality defects in 2+1d theories with $\bZ^{(0)}_N\times\bZ^{(1)}_N$ 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, a four-dimensional BF theory on a slab which realizes the duality defects on the boundary upon shrinking the interval. Furthermore, we provide explicit examples of such duality defects in $U(1)\times U(1)$ gauge theories and in more general product theories. Finally, we find duality defects in non-Lagrangian theories obtained by compactification of 6d $\cN=(2,0)$ SCFTs of type $A_{N-1}$ on various three-manifolds.

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Cited by 6 Pith papers

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    hep-th 2024-11 conditional novelty 7.0 of 10

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    hep-th 2024-11 conditional novelty 6.0 of 10

    A systematic M-theory construction of SymTFTs for discrete and continuous (-1)-form symmetries, with a new 4-group structure in 4d N=1 SYM from G2 manifolds.

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    hep-th 2024-11 conditional novelty 6.0 of 10

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  6. The Higher Structure of Symmetries of Axion-Maxwell Theory

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