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Constant mean curvature surfaces in AdS_3

Authors
  • Sakai, Kazuhiro
  • Satoh, Yuji
Type
Preprint
Publication Date
Feb 27, 2010
Submission Date
Jan 11, 2010
Identifiers
DOI: 10.1007/JHEP03(2010)077
Source
arXiv
License
Yellow
External links

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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