Some comments on spacelike minimal surfaces with null polygonal boundaries in $AdS_m$ TeX Export

@article{citeulike:5904198, abstract = {We discuss some geometrical issues related to spacelike minimal surfaces in \$AdS\_m\$ with null polygonal boundaries at conformal infinity. In particular for \$AdS\_4\$, two holomorphic input functions for the Pohlmeyer reduced system are identified. This system contains two coupled differential equations for two functions \$\alpha (z,\bar z)\$ and \$\beta (z,\bar z)\$, related to curvature and torsion of the surface. Furthermore, we conjecture that, for a polynomial choice of the two holomorphic functions, the relative positions of their zeros encode the conformal invariant data of the boundary null \$2n\$-gon.}, archivePrefix = {arXiv}, author = {Dorn, Harald}, citeulike-article-id = {5904198}, citeulike-linkout-0 = {http://arxiv.org/abs/0910.0934}, citeulike-linkout-1 = {http://arxiv.org/pdf/0910.0934}, day = {6}, eprint = {0910.0934}, keywords = {alday-maldacena}, month = {Oct}, posted-at = {2009-10-07 03:26:39}, priority = {2}, title = {Some comments on spacelike minimal surfaces with null polygonal boundaries in \$AdS\_m\$}, url = {http://arxiv.org/abs/0910.0934}, year = {2009} }

TY - JOUR ID - citeulike:5904198 L3 - citeulike-article-id:5904198 N2 - We discuss some geometrical issues related to spacelike minimal surfaces in $AdS_m$ with null polygonal boundaries at conformal infinity. In particular for $AdS_4$, two holomorphic input functions for the Pohlmeyer reduced system are identified. This system contains two coupled differential equations for two functions $\alpha (z,\bar z)$ and $\beta (z,\bar z)$, related to curvature and torsion of the surface. Furthermore, we conjecture that, for a polynomial choice of the two holomorphic functions, the relative positions of their zeros encode the conformal invariant data of the boundary null $2n$-gon. TI - Some comments on spacelike minimal surfaces with null polygonal boundaries in $AdS_m$ KW - alday-maldacena AU - Dorn, Harald PY - 2009/Oct/06/ UR - http://arxiv.org/abs/0910.0934 ER -