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We derive a manifestly superconformal expression for the leading-ordertwo-point functions of all single trace chiral primary operators in 4d$\mathcal{N}=4$ super-Yang-Mills theory with a co-dimension one Nahm poledefect. Notably, our result involves only a finite number of superblocks thatcorrespond to 1/2-BPS representations in the defect channel. The derivationbuilds on a non-trivial exact result for traces of fuzzy spherical harmonics incombination with powers of $\mathfrak{su}(2)$ generators, which leads to aremarkably compact expression for the bulk-to-defect couplings. Apart frombeing interesting in its own right as a closed-form expression at finite $N$,the final result is an essential prerequisite for applying the defectsuperconformal bootstrap programme to this model.

Superconformal Two-Point Functions of the Nahm Pole Defect in $\mathcal{N}=4$ Super-Yang-Mills Theory