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We study giant magnon solutions in AdS4 \times CP3. We compute quantumcorrections to their dispersion relation. We find out that the one--loopcorrection vanishes in infinite volume. This implies that the interpolatingfunction h(\lambda) between strong and weak coupling regimes does not have aconstant term \lambda^0 at strong coupling. We also compute first nonvanishingfinite volume correction to the one--loop expression. When compared to theL\"{u}sher formula, our results could provide a nontrivial check of the AdS4\times CP3 S--matrix proposed recently in arXiv:0807.1924.

Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections