Abstract
We present a four parameter family of classical string solutions in AdS 3 ×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 × S 5, we calculate the regularized area and analyze conserved charges. Comments on possible relations to scattering amplitudes are presented. We also sketch time-like versions of our solutions.
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ArXiv ePrint: 0912.3829
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Dorn, H., Drukker, N., Jorjadze, G. et al. Space-like minimal surfaces in AdS × S . J. High Energ. Phys. 2010, 4 (2010). https://doi.org/10.1007/JHEP04(2010)004
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DOI: https://doi.org/10.1007/JHEP04(2010)004