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We explicitly construct the fully back-reacted half-BPS solutions in Type IIB supergravity which are dual to Wilson loops with 16 supersymmetries in $\mathcal{N}=4$ super Yang-Mills.
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J. Gomis and F. Passerini, “Wilson loops as D3-branes,” JHEP
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S. Yamaguchi, “Bubbling geometries for half-BPS Wilson lines,” Int. J. Mod. Phys. A
2007
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