Reflecting Magnon Bound States

Understand

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.