Constant mean curvature surfaces in AdS_3
arXiv:1001.1553 · doi:10.1007/JHEP03(2010)077
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.
19 pages, v2: minor corrections, to appear in JHEP
References in corpus (13)
- Gluon scattering amplitudes at strong coupling
- Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
- The AdS4/CFT3 algebraic curve
- Generating AdS String Solutions
- Moduli Dynamics of AdS_3 Strings
- Some properties of the Alday-Maldacena minimum
- Conformal SO(2,4) Transformations of the One-Cusp Wilson Loop Surface
- Comments on gluon 6-point scattering amplitudes in N=4 SYM at strong coupling
- On n-point Amplitudes in N=4 SYM
- Boundary Ring: a way to construct approximate NG solutions with polygon boundary conditions: I. Z_n-symmetric configurations
- A note on string solutions in AdS_3
- Boundary Ring or a Way to Construct Approximate NG Solutions with Polygon Boundary Conditions. II. Polygons which admit an inscribed circle
- Some comments on spacelike minimal surfaces with null polygonal boundaries in
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