TBA-like equations for non-planar scattering amplitude/Wilson lines duality at strong coupling

Abstract

We compute the minimal area of a string worldsheet ending on two infinite periodic light-like Wilson lines in the AdS${}_3$ boundary, which is dual to the first non-planar correction to the gluon scattering amplitude in $\mathcal{N}=4$ SYM at the strong coupling. Using the connection between the Hitchin system and the thermodynamic Bethe ansatz (TBA) equations, we present an analytic method to compute the minimal area surface and express the non-trivial part of the minimal area in terms of the free energy of the TBA-like equations. Given the cross ratios as inputs, the area computed from the TBA-like equations matches that calculated using the numerical integration.

31 pages, 8 figures

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Cited by in corpus (5)

• Quasinormal Modes of C-metric from SCFTs
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• TBA equations and quantum periods for D-type Argyres-Douglas theories
• Analytic Four-Point Lightlike Form Factors and OPE of Null-Wrapped Polygons
• A short review on TBA equation and scattering amplitude/Wilson loop duality