Magnon Bound States and the AdS/CFT Correspondence

Details Magnon Bound States and the AdS/CFT Correspondence Magnon Bound States and the AdS/CFT Correspondence

2006-04-24

arxiv.org/abs/hep-th/0604175v2

J.Phys.A39:13119-13128,2006

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX File, 14 Pages. Minor improvements and corrected references

Scientific paper

10.1088/0305-4470/39/41/S18

We study the spectrum of asymptotic states in the spin-chain description of planar N=4 SUSY Yang-Mills. In addition to elementary magnons, the asymptotic spectrum includes an infinite tower of multi-magnon bound states with exact dispersion relation, Delta-J_{1} = sqrt{Q^{2}+(lambda/pi^2)sin^2(p/2)}, where the positive integer Q is the number of constituent magnons. These states account precisely for the known poles in the exact S-matrix. Like the elementary magnon, they transform in small representations of supersymmetry and are present for all values of the 't Hooft coupling. At strong coupling we identify the dual states in semiclassical string theory.

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