ASYMPTOTIC AdS STRING SOLUTIONS FOR NULL POLYGONAL WILSON LOOPS IN R-1,R- 2

作者：Ryang Shijong^*

来源：Modern Physics Letters A, 2010, 25(30): 2555-2569.

DOI：10.1142/S021773231003375X

• Bosonic string
• Wilson loop
• planar gluon amplitude

For the asymptotic string solution in AdS(3) which is represented by the AdS(3) Poincar'e coordinates and yields the planar multi-gluon scattering amplitude at strong coupling in arXiv:0904.0663, we express it by the AdS(4) Poincar'e coordinates and demonstrate that the hexagonal and octagonal Wilson loops surrounding the string surfaces take closed contours consisting of null vectors in R-1,R-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,R-2. The freedoms of two parameters are related with some conformal SO(2,4) transformations.

• 出版日期2010-9-28