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arXiv · 1007.1598

Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3

Changrim Ahn·Minkyoo Kim·Bum-Hoon Lee
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Abstract

We compute quantum corrections to finite-size effects for various dyonic giant magnons in the AdS_4 x CP^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 AdS_4 / 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.

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Changrim Ahn, Minkyoo Kim, Bum-Hoon Lee. 2010-07-16. Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3. https://doi.org/10.1007/jhep09(2010)062

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