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arXiv · 1001.1553

Constant mean curvature surfaces in AdS_3

Kazuhiro Sakai·Yuji Satoh
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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.

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Kazuhiro Sakai, Yuji Satoh. 2010-02-27. Constant mean curvature surfaces in AdS_3. https://doi.org/10.1007/jhep03(2010)077

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