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arXiv · 0904.0444

S-duality and the giant magnon dispersion relation

David Berenstein·Diego Trancanelli
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Abstract

We use S-duality and planarity to propose an argument for the non-renormalization of the dispersion relation of giant magnon solutions in type IIB string theory on AdS_5 x S^5. We compute the spectrum of giant magnons for (p,q)-strings from field theory at strong coupling by using the central charge properties of electrically and magnetically charged supersymmetric states in the Coulomb branch of N=4 super Yang-Mills. We argue that the coupling dependence of the giant magnon dispersion relation conjectured in the literature using integrability assumptions is in fact the only functional dependence compatible with S-duality.

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David Berenstein, Diego Trancanelli. 2014-05-28. S-duality and the giant magnon dispersion relation. https://doi.org/10.1140/epjc%2Fs10052-014-2925-0

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