Constant mean curvature surfaces in AdS_3

Details Constant mean curvature surfaces in AdS_3 Constant mean curvature surfaces in AdS_3

2010-01-11

arxiv.org/abs/1001.1553v2

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, v2: minor corrections, to appear in JHEP

Scientific paper

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.

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