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Four-dimensional superconformal theories with interacting boundaries or defects

Four-dimensional superconformal theories with interacting boundaries or defects

We study four-dimensional superconformal field theories coupled to three-dimensional superconformal boundary or defect degrees of freedom. Starting with bulk $\mathcal{N}=2,$ $d=4$ theories, we construct Abelian models preserving $\mathcal{N}=2,$ $d=3$ supersymmetry and the conformal symmetries under which the boundary/defect is invariant. We write the action, including the bulk terms, in $\mathcal{N}=2,$ …