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

Abstract: 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 the discrete (higher-form) symmetries. I will illustrate this by means of the examples of SO(3) Yang-Mills at θ=π, as well as SU(2)N=4 SYM at τ=i.

MathematicsPhysics

Audience: researchers in the topic

Symmetry Seminar

Series comments: Weekly seminar on generalized symmetries in QFT, string theory and related topics.