  We compute the one-loop correction to the dispersion relations of the
excitations of the $AdS_4 \times CP^3$ sigma model dual to ABJM theory,
expanded around the cusp background. The results parallel those of N = 4 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.
