Constant mean curvature surfaces in AdS_3
High Energy Physics - Theory
2015-05-14 v2
Abstract
We construct constant mean curvature surfaces of the general finite-gap type in AdS_3. The special case with zero mean curvature gives minimal surfaces relevant for the study of Wilson loops and gluon scattering amplitudes in N=4 super Yang-Mills. We also analyze properties of the finite-gap solutions including asymptotic behavior and the degenerate (soliton) limit, and discuss possible solutions with null boundaries.
Keywords
Cite
@article{arxiv.1001.1553,
title = {Constant mean curvature surfaces in AdS_3},
author = {Kazuhiro Sakai and Yuji Satoh},
journal= {arXiv preprint arXiv:1001.1553},
year = {2015}
}
Comments
19 pages, v2: minor corrections, to appear in JHEP