Minimal surfaces in AdS and the eight-gluon scattering amplitude at strong coupling
arXiv:0903.4707
Abstract
In this note 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. The mathematical problem to be solved arises also in the context of the moduli space of certain three dimensional supersymmetric theories. We can use explicit results available in the literature in order to find the explicit answer for the area of a surface that ends on a eight-sided null Wilson loop. Via the gauge/gravity duality this can also be interpreted as a certain eight-gluon scattering amplitude at strong coupling for a special kinematic configuration.
9 pages
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Cited by in corpus (7)
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- Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion
- Irregular Singularities in the H3+ WZW Model
- AdS String: Classical Solutions and Moduli Dynamics