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We study Heavy-Heavy-Light-Light (HHLL) correlators $\langle \mathcal{H} \mathcal{H} \mathcal{O}_2 \mathcal{O}_2 \rangle$ in $\mathcal{N}=4$ super Yang-Mills theory with $SU(N)$ gauge group at generic $N$. The light operator $\mathcal{O}_2$…

高能物理 - 理论 · 物理学 2024-12-23 Augustus Brown , Francesco Galvagno , Congkao Wen

We evaluate three-point correlation functions of single trace operators in N=4 SYM at both weak and strong coupling. We focus on the case where two of the operators belong in a SL(2) sub-sector, and are dual to string solutions in a broad…

高能物理 - 理论 · 物理学 2015-05-28 George Georgiou

We study correlation functions in topologically twisted $\mathcal{N}=2, d=4$ supersymmetric Yang-Mills theory for gauge groups of rank larger than one on compact four-manifolds $X$. We find that the topological invariance of the generator…

高能物理 - 理论 · 物理学 2017-09-07 Marcos Marino , Gregory Moore

We test the conjectured relationship between N=4 super Yang-Mills theory in four dimensions and IIB supergravity compactified on $AdS_5\times S_5$ by computing the two- and three-point functions of R-symmetry currents. We observe that the…

高能物理 - 理论 · 物理学 2011-05-05 G. Chalmers , H. Nastase , K. Schalm , R. Siebelink

We study circular BPS Wilson loops in the $\mathcal{N}=2$ superconformal $n$-node quiver theories at large $N$ and strong 't Hooft coupling by using localization. We compute the expectation values of Wilson loops in the limit when the 't…

高能物理 - 理论 · 物理学 2021-02-26 Hao Ouyang

The theory of Wilson loops for gauge theories with unitary gauge groups is formulated in the language of symmetric functions. The main objects in this theory are two generating functions, which are related to each other by the involution…

高能物理 - 理论 · 物理学 2019-11-20 Wolfgang Mück

We consider the correlation function of a null Wilson loop with four edges and a local operator in planar MSYM. By applying the insertion procedure, developed for correlation functions of local operators, we give an integral representation…

高能物理 - 理论 · 物理学 2013-10-17 Luis F. Alday , Paul Heslop , Jakub Sikorowski

In this paper we study correlation functions of circular Wilson loops in higher dimensional representations with chiral primary operators of N=4 super Yang-Mills theory. This is done using the recently established relation between higher…

高能物理 - 理论 · 物理学 2009-11-11 Simone Giombi , Riccardo Ricci , Diego Trancanelli

We compute a set of correlation functions of operator insertions on the 1/8 BPS Wilson loop in $\mathcal{N}=4$ SYM by employing supersymmetric localization, OPE and the Gram-Schmidt orthogonalization. These correlators exhibit a simple…

高能物理 - 理论 · 物理学 2018-11-09 Simone Giombi , Shota Komatsu

In this Letter, we initiate a systematic study of the $n$-point correlation functions (CF) in gauge theories in the sequential light-cone (SLC) limit. Focusing on QCD, we formulate a factorization theorem for the CF of four vector currents…

高能物理 - 理论 · 物理学 2025-10-10 Hao Chen , Pier Francesco Monni , Zhaoyan Pang , Gherardo Vita , Hua Xing Zhu

We study three-point functions of operators on the $1/2$ BPS Wilson loop in planar $\mathcal{N}=4$ super Yang-Mills theory. The operators we consider are "defect changing operators", which change the scalar coupled to the Wilson loop. We…

高能物理 - 理论 · 物理学 2018-01-17 Minkyoo Kim , Naoki Kiryu , Shota Komatsu , Takuya Nishimura

We study $\frac{1}{4}$-BPS Wilson loops in four-dimensional SU$(N$) ${\mathcal{N}}=2$ super-Yang-Mills theories with conformal matter in an arbitrary representation $\mathcal{R}$. These operators are formed of two meridians on the…

高能物理 - 理论 · 物理学 2025-05-07 Luca Griguolo , Luigi Guerrini , Alessandro Testa

We consider polygonal Wilson loops with null edges in conformal gauge theories. We derive an OPE-like expansion when several successive lines of the polygon are becoming aligned. The limit corresponds to a collinear, or multicollinear,…

高能物理 - 理论 · 物理学 2011-04-28 Luis F. Alday , Davide Gaiotto , Juan Maldacena , Amit Sever , Pedro Vieira

We study a holographic description for correlation function of 1/4 BPS Wilson loop operator and 1/2 BPS local operator carrying a large R-charge of order \sqrt \lambda. We construct a rotating string solution which is extended in S5 as well…

高能物理 - 理论 · 物理学 2015-06-11 Takayuki Enari , Akitsugu Miwa

The AdS/CFT duality maps supersymmetric heavy operators with conformal dimension of the order of the central charge to asymptotically AdS supergravity solutions. We show that by studying the quadratic fluctuations around such backgrounds it…

高能物理 - 理论 · 物理学 2017-10-25 Andrea Galliani , Stefano Giusto , Rodolfo Russo

We study a class of heavy-heavy-light-light (HHLL) integrated correlators of superconformal primary operators in $SU(N)$ $\mathcal{N}=4$ super Yang-Mills theory involving two light operators from the stress-tensor multiplet and two heavy…

高能物理 - 理论 · 物理学 2025-11-17 Augustus Brown , Daniele Dorigoni , Francesco Galvagno , Congkao Wen

An explicit solution is found for the most general independent correlation functions in lattice QCD$_2$ with Wilson action. The large-$N$ limit of these correlations may be used to reconstruct the eigenvalue distributions of Wilson loop…

高能物理 - 格点 · 物理学 2009-10-28 P. Rossi , E. Vicari

BPS Wilson loops in supersymmetric gauge theories have been the subjects of active research since they are often amenable to exact computation. So far most of the studies have focused on loops that do not intersect. In this paper, we derive…

高能物理 - 理论 · 物理学 2020-07-15 Simone Giombi , Shota Komatsu

We consider circular Wilson loops in a defect version of $\mathcal{N}=4$ super-Yang-Mills theory which is dual to the D3-D5 brane system with $k$ units of flux. When the loops are parallel to the defect, we can construct both BPS and…

高能物理 - 理论 · 物理学 2020-04-22 S. Bonansea , S. Davoli , L. Griguolo , D. Seminara

We continue our study of large charge limits of the defect CFT defined by the half-BPS Wilson loop in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. In this paper, we compute $1/J$ corrections to the correlation function of two…

高能物理 - 理论 · 物理学 2022-08-24 Simone Giombi , Shota Komatsu , Bendeguz Offertaler