Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-12-26
JHEP0804:050,2008
Physics
High Energy Physics
High Energy Physics - Theory
cover+15 pages, 2 figures; v2. minor changes, references added; v3. further minor changes
Scientific paper
10.1088/1126-6708/2008/04/050
In 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.
Ahn Changrim
Bak Dongsu
Rey Soo-Jong
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