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Related papers: Exact 1/4 BPS Loop - Chiral Primary Correlator

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We study correlators of null, $n$-sided polygonal Wilson loops with a Lagrangian insertion in the planar limit of the ${\cal N}=4$ supersymmetric Yang-Mills theory. This finite observable is closely related to loop integrands of…

High Energy Physics - Theory · Physics 2025-03-24 Taro V. Brown , Johannes M. Henn , Elia Mazzucchelli , Jaroslav Trnka

We study the effect of loop corrections to conformal correlators on the celestial sphere at null infinity. We first analyze finite one-loop celestial amplitudes in pure Yang-Mills theory and Einstein gravity. We then turn to our main focus:…

High Energy Physics - Theory · Physics 2021-01-04 Hernan A. Gonzalez , Andrea Puhm , Francisco Rojas

We use holography to study correlation functions of local operators in maximally supersymmetric Yang-Mills theories arising on the world-volume of D$p$-branes in the large-$N$ and strong-coupling limit. The relevant supergravity backgrounds…

High Energy Physics - Theory · Physics 2025-10-23 Nikolay Bobev , Guillermo Mera Álvarez , Hynek Paul

In recent work we began a study of the correlators of multiple light-like Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory, focussing primarily on tree-level calculations and, beyond tree-level, to the Abelian theory. Here we…

High Energy Physics - Theory · Physics 2026-02-02 James Drummond , Matthew Rochford , Rowan Wright

We describe the use of generalized unitarity for the construction of correlation functions of local gauge-invariant operators in general quantum field theories and illustrate this method with several calculations in N=4 super-Yang-Mills…

High Energy Physics - Theory · Physics 2012-09-04 O. Tang Engelund , R. Roiban

We report about recent progress in computing four-loop massive correlators. The expansion of these correlators in the external momentum leads to vacuum integrals. The calculation of these vacuum integrals can be used to determine Taylor…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. G. Chetyrkin , J. H. Kühn , C. Sturm

We study correlation functions of half-BPS operators in planar $\mathcal{N}=4$ Super-Yang-Mills at strong coupling, in the classical limit where operator dimensions scale with the coupling. We focus on the two-dimensional kinematics…

High Energy Physics - Theory · Physics 2026-05-06 Benjamin Basso , Erkan Kaluç , Didina Serban

We study the large 't Hooft coupling expansion of 1/2 BPS Wilson loops in the anti-symmetric representation in $ \mathcal{N}=4 $ super Yang-Mills (SYM) theory at the leading order in the 1/N expansion. Via AdS/CFT correspondence, this…

High Energy Physics - Theory · Physics 2016-09-30 Masaatsu Horikoshi , Kazumi Okuyama

We find 1/6 BPS string configurations in AdS_4 x CP^3, which we identify as the duals of certain 1/6 BPS circular Wilson loops in N=6 super Chern-Simons-matter gauge theory. We use our results to verify -in the strong coupling limit- a…

High Energy Physics - Theory · Physics 2015-06-19 Jeremias Aguilera-Damia , Diego H. Correa , Guillermo A. Silva

We study Wilson loop operators in three-dimensional, N=6 superconformal Chern-Simons theory dual to IIA superstring theory on AdS4 x CP3. Novelty of Wilson loop operators in this theory is that, for a given contour, there are two linear…

High Energy Physics - Theory · Physics 2009-03-27 Soo-Jong Rey , Takao Suyama , Satoshi Yamaguchi

I consider three-point functions of twist-one operators in ABJM at weak coupling. I compute the structure constant of correlators involving one twist-one un-protected operator and two protected ones for a few finite values of the spin, up…

High Energy Physics - Theory · Physics 2020-10-28 Marco S. Bianchi

We compute analytically and in closed form the four-point correlation function in the plane, and the two-point correlation function in the upper half-plane, of layering vertex operators in the two dimensional conformally invariant system…

Mathematical Physics · Physics 2020-08-26 Federico Camia , Valentino F. Foit , Alberto Gandolfi , Matthew Kleban

Recently it has been proposed that Wilson loops in high-dimensional representations in N=4 supersymmetric Yang-Mills theory (or multiply wrapped loops) are described by D-branes in AdS_5 x S^5, rather than by fundamental strings. Thus far…

High Energy Physics - Theory · Physics 2010-10-27 Nadav Drukker , Simone Giombi , Riccardo Ricci , Diego Trancanelli

In this talk we present a family of Wilson loop operators which continuously interpolates between the 1/2 BPS line and the antiparallel lines, and can be thought of as calculating a generalization of the quark--antiquark potential for the…

High Energy Physics - Theory · Physics 2015-06-04 Valentina Forini , Nadav Drukker

Based on the AdS/CFT correspondence, string theory has given exact predictions for circular Wilson loops in U(N) ${\cal N}=4$ supersymmetric Yang-Mills theory to all orders in a 1/N expansion. These Wilson loops can also be derived from…

High Energy Physics - Theory · Physics 2009-11-07 G. Akemann , P. H. Damgaard

We calculate the chiral effective superpotential in $4D$ $\mathcal{N}=1$, $SU(N)$ super Yang-Mills theory coupled to chiral matter in one- and two-loop approximations. It is found that the one-loop contribution to the chiral effective…

High Energy Physics - Theory · Physics 2025-08-29 I. L. Buchbinder , R. M. Iakhibbaev , A. I. Mukhaeva , D. I. Kazakov , D. M. Tolkachev

In this paper we complete the exploration of connected components of the space of BPS Wilson loops in three-dimensional $\mathcal{N}=4$ Chern-Simons-matter theory on $S^3$. The algorithm is to start with a supersymmetric Wilson loop, choose…

High Energy Physics - Theory · Physics 2023-07-05 Ziwen Kong

In the context of integrated correlators in $\mathcal{N}=4$ SYM, we study the 2-point functions of local operators with a superconformal line defect. Starting from the mass-deformed $\mathcal{N}=2^*$ theory in presence of a…

High Energy Physics - Theory · Physics 2023-11-30 M. Billo' , M. Frau , F. Galvagno , A. Lerda

We consider two four-dimensional gauge theories with gauge group $SU(N)$: the $\mathcal{N}=4$ Super Yang-Mills (SYM) theory and the $\mathcal{N}=2$ quiver gauge theory obtained as a $\mathbb{Z}_2$ orbifold of $\mathcal{N}=4$ SYM. In this…

High Energy Physics - Theory · Physics 2025-10-15 Lorenzo De Lillo , Alessandro Pini

We revisit the 't Hooft expansion of 1/2 BPS circular Wilson loop in N=4 SYM studied by Drukker and Gross in hep-th/0010274. We find an interesting recursion relation which relates different number of holes on the worldsheet. We also argue…

High Energy Physics - Theory · Physics 2009-11-11 Kazumi Okuyama
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