A Crossing-Symmetric Phase for AdS_5 x S^5 Strings

Details A Crossing-Symmetric Phase for AdS_5 x S^5 Strings A Crossing-Symmetric Phase for AdS_5 x S^5 Strings

2006-09-06

arxiv.org/abs/hep-th/0609044v2

JHEP 0611:070,2006

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, v2: references added, minor changes, to appear in JHEP

Scientific paper

10.1088/1126-6708/2006/11/070

We propose an all-order perturbative expression for the dressing phase of the AdS_5 x S^5 string S-matrix at strong coupling. Moreover, we are able to sum up large parts of this expression. This allows us to start the investigation of the analytic structure of the phase at finite coupling revealing a few surprising features. The phase obeys all known constraints including the crossing relation and it matches with the known physical data at strong coupling. In particular, we recover the bound states of giant magnons recently found by Hofman and Maldacena as poles of the scattering matrix. At weak coupling our proposal seems to differ with gauge theory. A possible solution to this disagreement is the inclusion of additional pieces in the phase not contributing to crossing, which we also study.

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