S-duality and the giant magnon dispersion relation

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.

4 pages; v2: reference added; v3: minor changes, references added

References in corpus (12)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Giant Magnons
• The Bethe ansatz for superconformal Chern-Simons
• Integrability and the AdS(3)/CFT(2) correspondence
• The all loop AdS4/CFT3 Bethe ansatz
• Magnon Bound States and the AdS/CFT Correspondence
• Three-dimensional N=6 SCFT's and their membrane dynamics
• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Multi-matrix models and emergent geometry
• On the shape of a D-brane bound state and its topology change
• Giant magnon bound states from strongly coupled N=4 SYM
• A strong coupling expansion for N=4 SYM theory and other SCFT's

Cited by in corpus (4)

• Towards integrability for AdS3/CFT2
• Two-loop cusp anomaly in ABJM at strong coupling
• Giant gravitons and the emergence of geometric limits in $\beta$-deformations of $\mathcal{N}=4$ SYM
• String junctions suspended between giants