Cusp Anomalous dimension and rotating open strings in AdS/CFT
R. Esp\'indola, J. Antonio Garc\'ia
TL;DR
This paper analytically supports the duality in AdS/CFT between a Wilson loop with a cusp, the cusp anomalous dimension, and a rotating open string meson model, linking geometric profiles to string penetration depth.
Contribution
It provides an analytical validation of the duality between cusp Wilson loops and rotating open strings in AdS/CFT, extending previous numerical studies.
Findings
Analytical support for the cusp anomalous dimension duality.
Relation between minimal surface profile and string bulk penetration.
Insight into the geometric interpretation of meson models in AdS/CFT.
Abstract
In the context of AdS/CFT we provide analytical support for the proposed duality between a Wilson loop with a cusp, the cusp anomalous dimension, and the meson model constructed from a rotating open string with high angular momentum. This duality was previously studied using numerical tools in [1]. Our result implies that the minimum of the profile function of the minimal area surface dual to the Wilson loop, is related to the inverse of the bulk penetration of the dual string that hangs from the quark--anti-quark pair (meson) in the gauge theory.
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