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High Energy Physics - Theory

arXiv:2111.01141 (hep-th)
[Submitted on 1 Nov 2021 (v1), last revised 17 Apr 2022 (this version, v3)]

Title:Kramers-Wannier-like duality defects in (3+1)d gauge theories

Authors:Justin Kaidi, Kantaro Ohmori, Yunqin Zheng
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Abstract:We introduce a class of non-invertible topological defects in (3+1)d gauge theories whose fusion rules are the higher-dimensional analogs of those of the Kramers-Wannier defect in the (1+1)d critical Ising model. As in the lower-dimensional case, the presence of such non-invertible defects implies self-duality under a particular gauging of their discrete (higher-form) symmetries. Examples of theories with such a defect include SO(3) Yang-Mills (YM) at $\theta = \pi$, $\mathcal{N}=1$ SO(3) super YM, and $\mathcal{N}=4$ SU(2) super YM at $\tau = i$. We also introduce an analogous construction in (2+1)d, and give a number of examples in Chern-Simons-matter theories.
Comments: 12 pages; v3: publication version
Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el)
Cite as: arXiv:2111.01141 [hep-th]
  (or arXiv:2111.01141v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.01141
Related DOI: https://doi.org/10.1103/PhysRevLett.128.111601

Submission history

From: Justin Kaidi [view email]
[v1] Mon, 1 Nov 2021 18:00:00 UTC (27 KB)
[v2] Wed, 8 Dec 2021 03:57:10 UTC (27 KB)
[v3] Sun, 17 Apr 2022 04:03:18 UTC (27 KB)
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