Space-like minimal surfaces in AdS x S

Understand

We present a four parameter family of classical string solutions in AdS_3 x S^3, which end along a light-like tetragon at the boundary of AdS_3 and carry angular momentum along two cycles on the sphere.

• The string surfaces are space-like and their projections on AdS_3 and on S^3 have constant mean curvature.
• The construction is based on the Pohlmeyer reduction of the related sigma model.
• After embedding in AdS_5 x S^5, we calculate the regularized area and analyze conserved charges.