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首页> 外文期刊>Progress of Theoretical Physics >Boundary ring or a way to construct approximate NG solutions with polygon boundary conditions. II - Polygons Pi, that admit an inscribed -
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Boundary ring or a way to construct approximate NG solutions with polygon boundary conditions. II - Polygons Pi, that admit an inscribed -

机译：边界环或用多边形边界条件构造近似NG解的方法。 II-承认有铭文的多边形Pi-

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摘要

We further develop the formalism of arXiv:0712.0159 for the approximate solution of the Nambu-Goto (NG) equations with polygon conditions in AdS backgrounds, which is needed in modern studies of the string/gauge duality. The inscribed-circle condition is preserved, which leaves only one unknown function y(0) (y(1), y(2)) to solve and considerably simplifies our presentation. The problem is to find a delicate balance - if not an exact match - between two different structures: the NG equation (a nonlinear deformation of the Laplace equation with solutions nonlinearly deviating from holomorphic functions) and the boundary ring associated with polygons formed from null segments in Minkowski space. We provide more details about the theory of these structures and suggest an extended class of functions to be used at the next stage of the Alday-Maldacena program: the evaluation of regularized NG actions.
机译：我们进一步开发arXiv：0712.0159的形式主义，以解决AdS背景下具有多边形条件的Nambu-Goto（NG）方程的近似解，这在现代研究弦/量规对偶性中是必需的。内切圆条件得以保留，仅剩下一个未知函数y（0）（y（1），y（2））即可解决并大大简化了我们的演示。问题是要在两个不同的结构之间找到微妙的平衡-如果不是精确匹配-NG方程（拉普拉斯方程的非线性变形，其解非线性偏离全纯函数）和与由空段形成的多边形关联的边界环在Minkowski空间中。我们提供了有关这些结构理论的更多详细信息，并建议在Alday-Maldacena计划的下一阶段中使用的扩展功能类别：对正规化NG作用的评估。

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