Surprises in the AdS algebraic curve constructions - Wilson loops and correlation functions

Details Surprises in the AdS algebraic curve constructions - Wilson loops and correlation functions Surprises in the AdS algebraic curve constructions - Wilson loops and correlation functions

2012-03-19

arxiv.org/abs/1203.4246v2

Physics

High Energy Physics

High Energy Physics - Theory

36 pages; v2: minor corrections

Scientific paper

The algebraic curve (finite-gap) classification of rotating string solutions was very important in the development of integrability through comparison with analogous structures at weak coupling. The classification was based on the analysis of monodromy around the closed string cylinder. In this paper we show that certain classical Wilson loop minimal surfaces corresponding to the null cusp and qqbar potential with trivial monodromy can, nevertheless, be described by appropriate algebraic curves. We also show how a correlation function of a circular Wilson loop with a local operator fits into this framework. The latter solution has identical monodromy to the pointlike BMN string and yet is significantly different.

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