We compute quantum corrections to finite-size effects for various dyonic giant magnons in the AdS4 × 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 Lüscher formula based on the S-matrix of the AdS4/CFT 3. 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.
- AdS-CFT correspondence
- Integrable field theories