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We study the dual gravity description of supersymmetric Wilson loops whose expectation value is unity. They are described by calibrated surfaces that end on the boundary of anti de-Sitter space and are pseudo-holomorphic with respect to an…

高能物理 - 理论 · 物理学 2009-11-11 A. Dymarsky , S. Gubser , Z. Guralnik , J. Maldacena

We initiate the calculation of quantum corrections to Wilson loops in a class of four-dimensional defect conformal field theories with vacuum expectation values based on N=4 super Yang-Mills theory. Concretely, we consider an infinite…

高能物理 - 理论 · 物理学 2022-08-24 Marius de Leeuw , Asger C. Ipsen , Charlotte Kristjansen , Matthias Wilhelm

We use the functional form of the QCD running coupling to modify the conformal metric in AdS/CFT mapping the fifth-dimensional z-coordinate to the energy scale in the four-dimensional QCD. The resulting type-0 string theory in five…

高能物理 - 唯象学 · 物理学 2010-01-08 H. J. Pirner , B. Galow

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…

高能物理 - 理论 · 物理学 2025-09-15 Thales Azevedo , Alfonso Ballon-Bayona , Leonardo Pazito

We implement a proper-time UV regularisation of the Nambu-Goto string, introducing an independent metric tensor and the corresponding Lagrange multiplier, and treating them in the mean-field approximation justified for long strings and/or…

高能物理 - 理论 · 物理学 2016-03-30 Jan Ambjorn , Yuri Makeenko

For the asymptotic string solution in AdS_3 which is represented by the AdS_3 Poincare coordinates and yields the planar multi-gluon scattering amplitude at strong coupling in arXiv:0904.0663, we express it by the AdS_4 Poincare coordinates…

高能物理 - 理论 · 物理学 2015-05-14 Shijong Ryang

We develop the relation between gravitational Wilson line networks, defined as a particular product of Wilson line operators averaged over the cap states, and conformal correlators in the context of the AdS$_2$/CFT$_1$ correspondence. The…

高能物理 - 理论 · 物理学 2023-11-30 K. B. Alkalaev , A. O. Kanoda , V. S. Khiteev

We make an exact field theoretical computation of the conformal anomaly for two-dimensional submanifold observables. By including a scalar field in the definition for the Wilson surface, as appropriate for a spontaneously broken A_1 theory,…

高能物理 - 理论 · 物理学 2009-11-10 Andreas Gustavsson

We study the two circular Wilson loop correlator in which one is of anti-symmetric representation, while the other is of fundamental representation in 4-dimensional ${\cal N}=4$ super Yang-Mills theory. This correlator has a good AdS dual,…

高能物理 - 理论 · 物理学 2010-10-27 Ta-Sheng Tai , Satoshi Yamaguchi

We propose the refined topological string correspondence to the expectation values of half-BPS Wilson loop operators in 5d $\mathcal{N}=1$ gauge theory partition function on the Omega-deformed background $\mathbb{R}^4_{\epsilon_{1,2}}\times…

高能物理 - 理论 · 物理学 2022-09-07 Min-xin Huang , Kimyeong Lee , Xin Wang

In this paper, minimal surface in $q$-deformed $AdS_5\times S^5$ with boundary a cusp is studied in detail. This minimal surface is dual to cusped Wilson loop in the dual field theory. We found that the area of the minimal surface has both…

高能物理 - 理论 · 物理学 2015-09-29 Nan Bai , Hui-Huang Chen , Jun-Bao Wu

We study the low-energy effective action governing the transverse fluctuations of a long string, such as a confining flux tube in QCD. We work in the static gauge where this action contains only the transverse excitations of the string. The…

高能物理 - 理论 · 物理学 2015-06-03 Ofer Aharony , Matthew Dodelson

We examine the one-loop partition function describing the fluctuations of the superstring in a Schwarzschild-AdS$_5\times S^5$ background. On the bosonic side, we demonstrate the one-loop equivalence of the Nambu-Goto action and the…

高能物理 - 理论 · 物理学 2009-09-01 De-fu Hou , James T. Liu , Hai-cang Ren

We calculate Wilson loops in lowest order of perturbation theory for triangular contours whose edges are circular arcs. Based on a suitable disentanglement of the relations between metrical and conformal parameters of the contours, the…

高能物理 - 理论 · 物理学 2021-05-26 Harald Dorn

We present a simple prescription for computing conformal blocks and correlation functions holographically in AdS$_3$ in terms of Wilson lines merging at a bulk vertex. This is shown to reproduce global conformal blocks and heavy-light…

高能物理 - 理论 · 物理学 2016-09-21 Mert Besken , Ashwin Hegde , Eliot Hijano , Per Kraus

We evaluate the exact one-loop partition function for fundamental strings whose world-surface ends on a cusp at the boundary of AdS_4 and has a "jump" in CP^3. This allows us to extract the stringy prediction for the ABJM generalized cusp…

高能物理 - 理论 · 物理学 2014-02-19 V. Forini , V. Giangreco M. Puletti , O. Ohlsson Sax

We investigate the M5-brane description of the Wilson surface operators in six-dimensional (2,0) superconformal field theory from AdS/CFT correspondence. We consider the Wilson surface operators in high-dimensional representation, whose…

高能物理 - 理论 · 物理学 2008-11-26 Bin Chen , Wei He , Jun-Bao Wu , Liang Zhang

The covariantization procedure is usually referred to the translation operator, that is the derivative. Here we introduce a general method to covariantize arbitrary differential operators, such as the ones defining the fundamental group of…

高能物理 - 理论 · 物理学 2018-06-20 Marco Matone , Paolo Pasti

We compute the tree-level connected six-point function of identical scalar fluctuations of the AdS$_2$ string worldsheet dual to the half-BPS Wilson line in planar ${\cal N}=4$ Super Yang-Mills. The calculation can be carried out…

高能物理 - 理论 · 物理学 2023-08-22 Simone Giombi , Shota Komatsu , Bendeguz Offertaler , Jieru Shan

The exact localization result for the expectation value of the $1\over 2$ BPS circular Wilson loop in ${\cal N}=4$ SYM theory is given in the planar limit by the famous Bessel function expression: $\langle W\rangle = {2N\over \sqrt \lambda…

高能物理 - 理论 · 物理学 2026-03-10 Matteo Beccaria , Stefan A. Kurlyand , Arkady A. Tseytlin