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We consider conformal defect solutions in four dimensional $N=2$ gaugedsupergravity. These solutions are constructed as a warped product of$AdS_2\times S^1$ over an interval with non-trivial electric and magneticfields. We show for minimal gauged supergravity and for gauged supergravitywith vector multiplets and abelian gauging that supersymmetric defect solutionsare only possible when the geometry has a conical defect in either the bulk orthe boundary metric.

Conformal Defect Solutions in $N=2,D=4$ Gauged Supergravity