PrerequisiteThe knowledge of linear algebra and basic methods of analysis (integral calculus, theory of the function of a complex variable, determinant identities) is required (but I will spend some time on recalling this material). The knowledge of representation theory of sl_2 is welcome. The familiarity with the basics of quantum mechanics(Hamiltonian, wavefunctions, Pauli matrices) will be ...
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 H...