Boundary Ring or a Way to Construct Approximate NG Solutions with Polygon Boundary Conditions. II : Polygons Π, That Admit an Inscribed Circle(Particles and Fields)

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概要

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• 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.

• 理論物理学刊行会の論文
• 2008-08-25

著者

• Morozov Alexei

  Itep

• Itoyama Hiroshi

  Department Of Mathematics And Physics Graduate School Of Scicence Osaka City University

• ITOYAMA Hiroshi

  Department of Mathematics and Physics, Graduate School of Scicence, Osaka City University

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