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09.02.2022 (Wednesday)

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

Regular Seminar Justin Kaidi (Stony Brook U.)

at:
15:45 KCL
room Online
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 example of SO(3) Yang-Mills (YM) at θ=π, as well as SU(2) N=4 SYM at τ=i.