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Journal of High Energy Physics, 11, 008 (2025)

Holographic Wilson Loop One-point Functions in ABJM Theory

Xiao-Yi Zhang1, Yunfeng Jiang2,3 and Jun-Bao Wu1,3

1 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, P.R. China.

School of physics and Shing-Tung Yau Center, Southeast University, 2 Sipailou, Nanjing 211189, P.R. China.

3 Peng Huanwu Center for Fundamental Theory, 96 Jinzhai Road, Hefei, Anhui 230026. P.R. China.

xiaoyi_zhang@tju.edu.cn, jinagyf2008@seu.edu.cn, junbao.wu@tju.edu.cn

Abstract

We compute the correlation function between a circular half-BPS Wilson loop (or straight Wilson line) and a local operator in ABJM theory utilizing its M-theory description.The local operator can be a 1/3-BPS single-trace chiral primary operator or the stress-energy tensor. Using the AdS/CFT correspondence, these correlators are dual to fluctuations of a probe M2-brane in AdS4×S7/Zk. We derive analytic results for both cases and compare them with existing results based on supersymmetric localization in the literature. In the large-N limit with k finite, our holograkphic results exhibit perfect agreement with localization.

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Center for Joint Quantum Studies, School of Science, Tianjin University     Address : Yaguan Road 135, Jinnan District, 300350 Tianjin, P. R. China