Worldsheet scattering in AdS(3)/CFT(2)
Abstract
We confront the recently proposed exact S-matrices for AdS(3)/CFT(2) with direct worldsheet calculations. Utilizing the BMN and Near Flat Space (NFS) expansions for strings on AdS(3) x S(3) x S(3) x S(1) and AdS(3) x S(3) x T(4) we compute both tree-level and one-loop scattering amplitudes. Up to some minor issues we find nice agreement in the tree-level sector. At the one-loop level however we find that certain non-zero tree-level processes, which are not visible in the exact solution, contribute, via the optical theorem, and give an apparent mismatch for certain amplitudes. Furthermore we find that a proposed one-loop modification of the dressing phase correctly reproduces the worldsheet calculation while the standard Hernandez-Lopez phase does not. We also compute several massless to massless processes.
Cite
@article{arxiv.1302.5349,
title = {Worldsheet scattering in AdS(3)/CFT(2)},
author = {Per Sundin and Linus Wulff},
journal= {arXiv preprint arXiv:1302.5349},
year = {2015}
}
Comments
20 pages, 1 figure; v2: Some clarifications in comparison to literature