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Journal of High Energy Physics Volume 2009 JHEP11(2009) Create an alert RSS this journal

Luis F. Alday and Juan Maldacena JHEP11(2009)082 doi:10.1088/1126-6708/2009/11/082

Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space

Luis F. Alday and Juan Maldacena

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Abstract References Cited By
We consider minimal surfaces in three dimensional anti-de-Sitter space that end at the AdS boundary on a polygon given by a sequence of null segments. The problem can be reduced to a certain generalized Sinh-Gordon equation and to SU(2) Hitchin equations. We describe in detail the mathematical problem that needs to be solved. This problem is mathematically the same as the one studied by Gaiotto, Moore and Neitzke in the context of the moduli space of certain supersymmetric theories. Using their results we can find the explicit answer for the area of a surface that ends on an eight-sided polygon. Via the gauge/gravity duality this can also be interpreted as a certain eight-gluon scattering amplitude at strong coupling. In addition, we give fairly explicit solutions for regular polygons.

Keywords

AdS-CFT and dS-CFT Correspondence

Strong Coupling Expansion

 

E-print Number: 0904.0663

Cited: by |

Refers: to

PACS

11.10.Lm Nonlinear or nonlocal theories and models

11.30.Ly Other internal and higher symmetries

11.30.Pb Supersymmetry

11.25.Tq Gauge/string duality

Subjects

Particle physics and field theory

Dates

Issue 11 (November 2009)

Received 20 October 2009, accepted for publication 26 October 2009

Published 18 November 2009



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