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Rui Lima Matos, DAMTP, University of Cambridge
Quantum dispersion of giant magnons I

We perform a first principles semi-classical computation of the one-loop corrections to the dispersion relation and $S$-matrix of giant magnons in $\operatorname{AdS}_5 \times S^5$ string theory. The results agree exactly with expectations based on the strong coupling expansion of the exact Asymptotic Bethe Ansatz equations. In particular we reproduce the Hernandez-Lopez term in the dressing phase.