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We initiate the calculation of loop corrections to correlation functions in4D defect CFTs. More precisely, we consider N=4 SYM with a codimension-onedefect separating two regions of space, x_3>0 and x_3<0, where the gauge groupis SU(N) and SU(N-k), respectively. This set-up is made possible by some of thereal scalar fields acquiring a non-vanishing and x_3-dependent vacuumexpectation value for x_3>0. The holographic dual is the D3-D5 probe branesystem where the D5 brane geometry is AdS_4 x S^2 and a background gauge fieldhas k units of flux through the S^2. We diagonalise the mass matrix of thedefect CFT making use of fuzzy-sphere coordinates and we handle thex_3-dependence of the mass terms in the 4D Minkowski space propagators byreformulating these as standard massive AdS_4 propagators. Furthermore, we showthat only two Feynman diagrams contribute to the one-loop correction to theone-point function of any single-trace operator and we explicitly calculatethis correction in the planar limit for the simplest chiral primary. The resultof this calculation is compared to an earlier string-theory computation in acertain double-scaling limit, finding perfect agreement. Finally, we discusshow to generalise our calculation to any single-trace operator, to finite N andto other types of observables such as Wilson loops.

One-loop one-point functions in gauge-gravity dualities with defects