  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.

High Energy Physics - Theory