Conformal SO(2,4) Transformations of the One-Cusp Wilson Loop Surface

Details Conformal SO(2,4) Transformations of the One-Cusp Wilson Loop Surface Conformal SO(2,4) Transformations of the One-Cusp Wilson Loop Surface

2007-10-09

arxiv.org/abs/0710.1673v1

Phys.Lett.B659:894-900,2008

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX, no figures

Scientific paper

10.1016/j.physletb.2007.11.097

By applying the conformal SO(2,4) transformations to the elementary one-cusp Wilson loop surface we construct various two-cusp and four-cusp Wilson loop surface configurations in AdS_5 and demonstrate that they solve the string equations of the Nambu-Goto string action. The conformal boosts of the basic four-cusp Wilson loop surface with a square-form projection generate various four-cusp Wilson loop surfaces with projections of the rescaled square, the rhombus and the trapezium, on which surfaces the classical Euclidean Nambu-Goto string actions in the IR dimensional regularization are evaluated.

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