S-duality and the giant magnon dispersion relation

Details S-duality and the giant magnon dispersion relation S-duality and the giant magnon dispersion relation

2009-04-02

arxiv.org/abs/0904.0444v2

Physics

High Energy Physics

High Energy Physics - Theory

4 pages; v2: reference added

Scientific paper

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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