Quantum finite-size effects for dyonic magnons in the AdS4 x CP3

We compute quantum corrections to finite-size effects for various dyonic giant magnons in the AdS(4) x CP3 in two different approaches. The off-shell algebraic curve method is used to quantize the classical string configurations in semi-classical way and to compute the corrections to the string energies. These results are compared with the F-term Luscher formula based on the S-matrix of the AdS(4)/CFT3. The fact that the two results match exactly provides another stringent test for the all-loop integrability conjecture and the exact S-matrix based on it.