Asymptotic AdS String Solutions for Null Polygonal Wilson Loops in R^{1,2}

Details Asymptotic AdS String Solutions for Null Polygonal Wilson Loops in R^{1,2} Asymptotic AdS String Solutions for Null Polygonal Wilson Loops in R^{1,2}

2009-10-26

arxiv.org/abs/0910.4796v1

Physics

High Energy Physics

High Energy Physics - Theory

17pages, LaTeX, no figures

Scientific paper

For the asymptotic string solution in AdS_3 which is represented by the AdS_3 Poincare coordinates and yields the planar multi-gluon scattering amplitude at strong coupling in arXiv:0904.0663, we express it by the AdS_4 Poincare coordinates and demonstrate that the hexagonal and octagonal Wilson loops surrounding the string surfaces take closed contours consisting of null vectors in R^{1,2} owing to the relations of Stokes matrices. For the tetragonal Wilson loop we construct a string solution characterized by two parameters by solving the auxiliary linear problems and demanding a reality condition, and analyze the asymptotic behavior of the solution in R^{1,2}. The freedoms of two parameters are related with some conformal SO(2,4) transformations.

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