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UID:10002687-1643832000-1643837400@cmsa.fas.harvard.edu
SUMMARY:Kramers-Wannier-like duality defects in higher dimensions
DESCRIPTION:Title: Kramers-Wannier-like duality defects in higher dimensions \nAbstract: I will 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 θ = π\, N = 1 SO(3) super YM\, and N = 4 SU(2) super YM at τ = i. I will also explain an analogous construction in (2+1)d\, and give a number of examples in Chern-Simons-matter theories. This talk is based on https://arxiv.org/abs/2111.01141.
URL:https://cmsa.fas.harvard.edu/event/2-2-2022-quantum-matter-in-mathematics-and-physics/
LOCATION:MA
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.02.2022-1544x2048-1.png
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