Giant magnon bound states from strongly coupled N=4 SYM

Abstract

We calculate in a very simple way the spectrum of giant magnon bound states at strong coupling in N=4 SYM, by utilizing the description of the field theory vacuum in terms of a condensate of eigenvalues of commuting matrices. We further show that these calculations can be understood in terms of the central charge extension that permits the calculation of BPS masses in the Coulomb branch of N=4 SYM. This paper shows further evidence that the strong coupling expansion of the maximally supersymmetric Yang-Mills theory in four dimensions can be done systematically from first principles, without the assumption of integrability.

19 pages, uses revtex

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• Three-dimensional N=6 SCFT's and their membrane dynamics
• Finite-Size Effects for Dyonic Giant Magnons
• Submatrix deconfinement and small black holes in AdS
• On the shape of a D-brane bound state and its topology change
• Reflecting Magnon Bound States
• Strings on conifolds from strong coupling dynamics, part I
• Aspects of Integrability in AdS/CFT Duality
• On the multi-spin magnon and spike solutions from membranes
• Strings on conifolds from strong coupling dynamics: quantitative results
• On the central charge extension of the N=4 SYM spin chain
• Open giant magnons on LLM geometries
• A strong coupling expansion for N=4 SYM theory and other SCFT's
• Strongly coupled large N spectrum of two matrices coupled via a Yang-Mills interaction
• S-duality and the giant magnon dispersion relation
• Black Hole Production from High Energy Scattering in AdS/CFT
• Emergent geometry in N=6 Chern-Simons-matter theory