Elliptical Wilson loops in ${\cal N}=4$ Super Yang-Mills

Fuente: arXiv
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Autores principales: Azevedo, Thales, Ballon-Bayona, Alfonso, Pazito, Leonardo
Formato: Preprint
Publicado: 2025
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author Azevedo, Thales
Ballon-Bayona, Alfonso
Pazito, Leonardo
author_facet Azevedo, Thales
Ballon-Bayona, Alfonso
Pazito, Leonardo
contents We investigate elliptical Wilson loops in ${\cal N}=4$ Super Yang--Mills theory at weak and strong coupling for small values of the eccentricity. We obtain analytical results for the vacuum expectation value of the Wilson loop in the form of a series in the eccentricity parameter. At weak coupling, we use perturbation theory in ${\cal N}=4$ Super Yang--Mills. At strong coupling, we use the AdS/CFT correspondence, which maps the Wilson loop to the minimal-area worldsheet of an open string in AdS space. We present a novel perturbative method to solve the Nambu--Goto equations allowing us to describe the minimal surface in terms of a coordinate parameterization in Euclidean AdS$_3$. Our results for the regularized area agree with those obtained by Dekel in [1] based on the Polyakov action.
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id arxiv_https___arxiv_org_abs_2509_04355
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Elliptical Wilson loops in ${\cal N}=4$ Super Yang-Mills
Azevedo, Thales
Ballon-Bayona, Alfonso
Pazito, Leonardo
High Energy Physics - Theory
High Energy Physics - Phenomenology
We investigate elliptical Wilson loops in ${\cal N}=4$ Super Yang--Mills theory at weak and strong coupling for small values of the eccentricity. We obtain analytical results for the vacuum expectation value of the Wilson loop in the form of a series in the eccentricity parameter. At weak coupling, we use perturbation theory in ${\cal N}=4$ Super Yang--Mills. At strong coupling, we use the AdS/CFT correspondence, which maps the Wilson loop to the minimal-area worldsheet of an open string in AdS space. We present a novel perturbative method to solve the Nambu--Goto equations allowing us to describe the minimal surface in terms of a coordinate parameterization in Euclidean AdS$_3$. Our results for the regularized area agree with those obtained by Dekel in [1] based on the Polyakov action.
title Elliptical Wilson loops in ${\cal N}=4$ Super Yang-Mills
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2509.04355