Half-BPS Wilson loop and AdS2/CFT1

By S. Giombi, R. Roiban, A. Tseytlin. 2017

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Abstract We study correlation functions of local operator insertions on the 1/2-BPS Wilson line in N = 4 super Yang–Mills theory. These correlation functions are constrained by the 1d superconformal symmetry preserved by the 1/2-BPS Wilson line and define a defect CFT 1 living on the line. At strong coupling, a set of elementary operator insertions with protected scaling dimensions correspond to fluctuations of the dual fundamental string in AdS × 5 S 5 ending on the line at the boundary and can be thought of as light fields propagating on the AdS 2 worldsheet. We use AdS/CFT techniques to compute the tree-level AdS 2 Witten diagrams describing the strong coupling limit of the four-point functions of the dual operator insertions. Using the OPE, we also extract the leading strong coupling corrections to the anomalous dimensions of the “two-particle” operators built out of elementary excitations. In the case of the circular Wilson loop, we match our results for the 4-point functions of a special type of scalar insertions to the prediction of localization to 2d Yang–Mills theory.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/bf6ffe9ffed1c4c95d7c462a2e62113340c36f9f