Coulomb branch and integrability

IF 5.5 1区物理与天体物理 Q1 Physics and Astronomy

Journal of High Energy Physics Pub Date : 2025-10-16 DOI:10.1007/JHEP10(2025)143

Frank Coronado, Shota Komatsu, Konstantin Zarembo

引用次数: 0

Abstract

We study one-point functions of non-BPS single-trace operators on the Coulomb branch of planar \(\mathcal{N}=4\) supersymmetric Yang-Mills theory. Holography relates them to overlaps between on-shell closed string states and a boundary state describing a probe D3-brane in AdS₅ × S⁵. Assuming that the D-brane preserves integrability, we formulate and solve integrable bootstrap equations satisfied by the boundary state at finite ’t Hooft coupling. This leads to a closed-form determinant expression for one-point functions at finite coupling, valid for sufficiently long operators. We test the result against direct field theory computations at tree level and one loop, finding perfect agreement.

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库仑分支和可积性

研究了平面\(\mathcal{N}=4\)超对称杨-米尔斯理论库仑分支上非bps单迹算子的单点函数。全息图将它们与描述AdS5 × S5中探针d3膜的壳上闭弦态和边界态之间的重叠联系起来。假设d膜保持可积性，我们建立并求解了在有限t Hooft耦合下边界状态满足的可积自举方程。这导致了有限耦合下单点函数的封闭形式的行列式表达式，对足够长的算子有效。我们在树级和单回路上用直接场论计算对结果进行了验证，结果完全一致。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of High Energy Physics 物理-物理：粒子与场物理

CiteScore

10.30

自引率

46.30%

发文量

2107

审稿时长

1.5 months

期刊介绍： The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).