Quantum dispersion relations for the AdS4xCP3 GKP string

Abstract: We compute the one-loop correction to the dispersion relations of the excitations of the AdS4×ℂℙsigma model dual to ABJM theory, expanded around the cusp background. The results parallel those of SYM. As in that case, the dispersion relations are compatible with the predictions from the Bethe ansatz for the GKP string, though showing some known discrepancies on which we comment.