A note on string solutions in AdS_3

Abstract

We systematically search for classical open string solutions in AdS_3 within the general class expressed by elliptic functions (i.e., the genus-one finite-gap solutions). By explicitly solving the reality and Virasoro conditions, we give a classification of the allowed solutions. When the elliptic modulus degenerates, we find a class of solutions with six null boundaries, among which two pairs are collinear. By adding the S^1 sector, we also find four-cusp solutions with null boundaries expressed by the elliptic functions.

17 pages, 1 figure; (v2) added 1 figure and discussion on solutions with 6 null boundaries; (v3) corrected equation numbers; (v4) added comments

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• Constant mean curvature surfaces in AdS_3
• Some comments on spacelike minimal surfaces with null polygonal boundaries in $Ad{S}_m$
• Algebraic Curves for Long Folded and Circular Winding Strings in AdS5xS5
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• Spiky Strings with Two Spins in AdS5
• Gluon scattering amplitudes from gauge/string duality and integrability