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Abstract:

We consider the Wilson line operators in certain gauge quantum field theories, including massless QED, massless scalar QED, and N=4 SYM as well as some examples in 2+1d. We find that Wilson lines sometimes admit interesting deformations leading to new conformal line operators. Also, sometimes, Wilson lines are destabilized and lead to an RG flow which we analyze. We also comment on t Hooft lines.