Abstract
We compute quantum corrections to finite-size effects for various dyonic giant magnons in the AdS 4 × \( \mathbb{C}{\mathbb{P}^3} \) 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/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.
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ArXiv ePrint: 1007.1598
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Ahn, C., Kim, M. & Lee, BH. Quantum finite-size effects for dyonic magnons in the AdS 4 × \( \mathbb{C}{\mathbb{P}^3} \) . J. High Energ. Phys. 2010, 62 (2010). https://doi.org/10.1007/JHEP09(2010)062
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DOI: https://doi.org/10.1007/JHEP09(2010)062