Reflecting Magnon Bound States

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dc.creatorAhn, Changrim
dc.creatorBak, Dongsu
dc.creatorRey, Soo-Jong
dc.date2007-12-26
dc.date2008-02-16
dc.date.accessioned2026-07-07T11:13:56Z
dc.date.available2026-07-07T11:13:56Z
dc.descriptionIn N=4 super Yang-Mills spin chain, we compute reflection amplitudes of magnon bound-state off giant graviton. We first compute the reflection amplitude off Y=0 brane boundary and compare it with the scattering amplitude between two magnon bound-states in the bulk. We find that analytic structure of the two amplitudes are intimately related each other: the boundary reflection amplitude is a square-root of the bulk scattering amplitude. Using such relation as a guide and taking known results at weak and strong coupling limits as inputs, we find the reflection amplitude of an elementary magnon off Z=0 giant graviton boundary. The reflection phase factor is shown to solve crossing and unitarity relations. We then compute the reflection amplitude of magnon bound-state off the Z=0 brane boundary and observe that its analytic structures are again intimately related to the bulk scattering and the Y=0 boundary reflection amplitudes. We also take dyonic giant magnon limit of these reflection amplitudes and confirm that their phase-shifts agree completely with string worldsheet computations based on complex sine-Gordon soliton scattering.
dc.descriptioncover+15 pages, 2 figures; v2. minor changes, references added; v3. further minor changes
dc.identifierhttps://arxiv.org/abs/0712.4144
dc.identifierhttp://arxiv.org/abs/0712.4144
dc.identifierJHEP0804:050,2008
dc.identifierdoi:10.1088/1126-6708/2008/04/050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191894
dc.subjectHigh Energy Physics - Theory
dc.titleReflecting Magnon Bound States
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