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We present a comment to a recent paper by Dominguez et. al. They claimed thatthe electrostatic interaction between charged colloids trapped at an interfaceformed by a dielectric and a screening phase is always isotropic to order$d^-3$. Base on this result, they claimed that in-plane dipolar attraction oforder $d^-3$ between colloids cannot exist, in contrast to previous proposals.We point out that their analysis is not completed and anisotropic (dipolar)interaction between colloids can exist up to order $d^-3$.

Comment to "Multipolar expansion of the electrostatic interaction between charged colloids at interfaces"