Abstract
We consider a particular large-radius limit of the world sheet S matrix for strings propagating on AdS 5 X S 5 . This limiting theory interpolates smoothly between the so-called plane-wave and giant-magnon regimes of the theory. The sigma model in this region simplifies; it stands as a toy model of the full theory, and may be easier to solve directly. The S matrix of the limiting theory is nontrivial, and receives contributions to all orders in the α ' expansion. We analyze a guess for the full world sheet S matrix that was formulated recently by Beisert, Hernandez, and Lopez, and Beisert, Eden, and Staudacher, and take the corresponding limit. After doing a Borel resummation we find that the proposed S matrix reproduces the expected results in the giant-magnon region. In addition, we rely on general considerations to draw some basic conclusions about the analytic structure of the S matrix.
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