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Bibliographic Details
Main Authors: Gautason, Fridrik Freyr, Nix, Alexia
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.04596
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author Gautason, Fridrik Freyr
Nix, Alexia
author_facet Gautason, Fridrik Freyr
Nix, Alexia
contents We study the vacuum expectation value of half-BPS Wilson loop operators in two families of superconformal $\mathcal{N}=2$ Chern-Simons-matter theories. The first family is dual to AdS$_{4}$ solutions in M-theory, while the second one has a dual description in massive type IIA string theory. Utilizing the properties of the underlying geometry, we provide a universal description for the semiclassical quantization of a probe M2-brane and fundamental string in the respective holographic dual geometries. As a result, we find the one-loop partition function of both the M2-brane and the string which leads to a prediction for the large $N$ behaviour of the Wilson loops in the dual SCFTs. For theories with M-theory duals, we conjecture the full perturbative completion as a ratio of Airy functions.
format Preprint
id arxiv_https___arxiv_org_abs_2511_04596
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Universal holographic Wilson loops in 3d SCFTs
Gautason, Fridrik Freyr
Nix, Alexia
High Energy Physics - Theory
We study the vacuum expectation value of half-BPS Wilson loop operators in two families of superconformal $\mathcal{N}=2$ Chern-Simons-matter theories. The first family is dual to AdS$_{4}$ solutions in M-theory, while the second one has a dual description in massive type IIA string theory. Utilizing the properties of the underlying geometry, we provide a universal description for the semiclassical quantization of a probe M2-brane and fundamental string in the respective holographic dual geometries. As a result, we find the one-loop partition function of both the M2-brane and the string which leads to a prediction for the large $N$ behaviour of the Wilson loops in the dual SCFTs. For theories with M-theory duals, we conjecture the full perturbative completion as a ratio of Airy functions.
title Universal holographic Wilson loops in 3d SCFTs
topic High Energy Physics - Theory
url https://arxiv.org/abs/2511.04596