An exact slope for AdS/CFT

Details An exact slope for AdS/CFT An exact slope for AdS/CFT

2011-09-14

arxiv.org/abs/1109.3154v2

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, 2 figures; comments and references added, misprints corrected

Scientific paper

We present a conjecture for the small spin limit of the minimal scaling dimension of Wilson operators in the sl(2) sector of the planar N=4 Super-Yang-Mills theory. The expression is given in closed form as a function of the 't Hooft coupling and twist of the operator. The formula should stand as a prediction of the Asymptotic Bethe Ansatz equations for the spectrum of scaling dimensions and evidence is given at both weak and strong coupling that it should be exact. In particular, agreement is found with established one-loop spectroscopy of string energies at strong coupling.

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