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arXiv · 1308.1370

Scattering in AdS(2)/CFT(1) and the BES Phase

Michael C. Abbott·Jeff Murugan·Per Sundin·Linus Wulff
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Abstract

We study worldsheet scattering for the type IIA superstring in AdS(2) x S(2) x T(6). Using the Green--Schwarz action to quartic order in fermions we take the near-BMN limit, where as in the AdS(3)/CFT(2) case there are both massive and massless excitations. For the massive excitations we compute all possible tree-level processes, and show that these agree with a truncated version of the exact AdS(5) x S(5) S-matrix. We also compute several S-matrix elements involving massless excitations. At one loop we find that the dressing phase is the same Hernandes-Lopez phase appearing in AdS(5)/CFT(4). We see the same phase when calculating this by semiclassical means using the PSU(1,1|2)/U(1)^2 coset sigma model, for which we can also study the scattering of fermions. This supports the conjecture that the all-loop dressing phase is again the BES phase, rather than a new phase like that seen in AdS(3)/CFT(2).

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Michael C. Abbott, Jeff Murugan, Per Sundin, Linus Wulff. 2013-09-18. Scattering in AdS(2)/CFT(1) and the BES Phase. https://doi.org/10.1007/jhep10(2013)066

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