Space-like minimal surfaces in AdS x S
High Energy Physics - Theory
2010-07-22 v3
Abstract
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. Comments on possible relations to scattering amplitudes are presented. We also sketch time-like versions of our solutions.
Keywords
Cite
@article{arxiv.0912.3829,
title = {Space-like minimal surfaces in AdS x S},
author = {Harald Dorn and Nadav Drukker and George Jorjadze and Chrysostomos Kalousios},
journal= {arXiv preprint arXiv:0912.3829},
year = {2010}
}
Comments
v3: 30 pages, reference added, minor changes