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Conformal field theory (CFT) plays a key role in modern theoretical physics. Through CFT we describe real physical systems at criticality and fixed points of the renormalization group flow. It is also central in the study of quantum…

High Energy Physics - Theory · Physics 2024-04-19 Giulia Peveri

We consider the defect CFT defined by a 't Hooft line embedded in N=4 super Yang-Mills theory. By explicitly quantizing around the given background we exactly reproduce a prediction from S-duality for the correlators between the 't Hooft…

High Energy Physics - Theory · Physics 2023-08-29 Charlotte Kristjansen , Konstantin Zarembo

Conformal field theory finds applications across diverse fields, from statistical systems at criticality to quantum gravity through the AdS/CFT correspondence. These theories are subject to strong constraints, enabling a systematic…

High Energy Physics - Theory · Physics 2024-01-22 Julien Barrat

Correlators of Wilson loop operators with O_4=Tr(F_{\mu\nu}^2+...) are computed in N=4 super-Yang-Mills theory using the AdS/CFT correspondence. The results are compared with the leading order perturbative computations. As a consequence of…

High Energy Physics - Theory · Physics 2009-10-31 J. Erickson , G. W. Semenoff , K. Zarembo

We compute correlation functions of local operator insertions on the 1/2 BPS Wilson lines of N=4 Chern-Simons-matter theories in 3 dimensions. We study the algebra preserved by the defect CFT supported on the line, identify the…

High Energy Physics - Theory · Physics 2024-09-06 Riccardo Giordana Pozzi , Diego Trancanelli

Correlation functions of the FF and F\tilde{F} operators in hot SU(3) Yang-Mills theory have recently been studied both on the lattice and in perturbation theory, and the results subsequently compared to the strong coupling limit of…

High Energy Physics - Phenomenology · Physics 2011-06-15 Aleksi Vuorinen

We consider four-point functions of protected, double- and single-trace operators in the large central charge limit. We use superconformal symmetry to disentangle the contribution of protected operators in the partial wave decomposition.…

High Energy Physics - Theory · Physics 2024-12-30 Agnese Bissi , Giulia Fardelli , Andrea Manenti

We compute $1/\lambda$ corrections to the four-point functions of half-BPS operators in $SU(N)$ $\mathcal{N}=4$ super-Yang-Mills theory at large $N$ and large 't Hooft coupling $\lambda=g_\text{YM}^2 N$ using two methods. Firstly, we relate…

High Energy Physics - Theory · Physics 2020-01-29 Damon J. Binder , Shai M. Chester , Silviu S. Pufu , Yifan Wang

We use modern bootstrap techniques to study half-BPS line defects in 4d N=4 superconformal theories. Specifically, we consider the 1d CFT with OSP(4*|4) superconformal symmetry living on such a defect. Our analysis is general and based only…

High Energy Physics - Theory · Physics 2018-11-14 Pedro Liendo , Carlo Meneghelli , Vladimir Mitev

We introduce a nonperturbative approach to correlation functions of two determinant operators and one non-protected single-trace operator in planar N=4 supersymmetric Yang-Mills theory. Based on the gauge/string duality, we propose that…

High Energy Physics - Theory · Physics 2019-11-13 Yunfeng Jiang , Shota Komatsu , Edoardo Vescovi

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…

High Energy Physics - Theory · Physics 2018-01-17 Minkyoo Kim , Naoki Kiryu , Shota Komatsu , Takuya Nishimura

We study particular integrated correlation functions of two superconformal primary operators of the stress tensor multiplet in the presence of a half-BPS line defect labelled by electromagnetic charges $(p,q)$ in $\mathcal{N}=4$…

High Energy Physics - Theory · Physics 2024-09-20 Daniele Dorigoni , Zhihao Duan , Daniele R. Pavarini , Congkao Wen , Haitian Xie

The four dimensional $\mathcal{N}=4$ super-Yang-Mills (SYM) theory exhibits rich dynamics in the presence of codimension-one conformal defects. The new structure constants of the extended operator algebra consist of one-point functions of…

High Energy Physics - Theory · Physics 2020-08-26 Shota Komatsu , Yifan Wang

We study three-dimensional conformal field theories with a large-$N$ limit. Leveraging the framework of slightly broken higher-spin symmetry, we bootstrap correlation functions between the single-trace, local operators and straight,…

High Energy Physics - Theory · Physics 2025-05-16 Gwenaël Ferrando , Amit Sever , Elior Urisman

We consider two four-dimensional SCFTs with gauge group $Sp(N)$: the $\mathcal{N}=4$ SYM theory and the $\mathcal{N}=2$ theory with four hypermultiplets in the fundamental representation and one hypermultiplet in the rank-2 antisymmetric…

High Energy Physics - Theory · Physics 2025-03-10 Lorenzo De Lillo , Marialuisa Frau , Alessandro Pini

We review recent progress in the study of line defects in three-dimensional Chern-Simons-matter superconformal field theories, notably the ABJM theory. The first part is focused on kinematical defects supporting a topological sector of the…

High Energy Physics - Theory · Physics 2021-08-17 Silvia Penati

We initiate the lightcone bootstrap analysis of multipoint correlators in a defect conformal field theory. The setup we consider is the three-point function of two bulk and one defect operator. Requiring consistency of the crossing equation…

High Energy Physics - Theory · Physics 2026-03-30 Lorenzo Bianchi , Andrea Mattiello , Lorenzo Quintavalle

We derive a dispersion relation for two-point correlation functions in defect conformal field theories. The correlator is expressed as an integral over a (single) discontinuity that is controlled by the bulk channel operator product…

High Energy Physics - Theory · Physics 2023-08-02 Lorenzo Bianchi , Davide Bonomi

We study the large charge sector of the defect CFT defined by the half-BPS Wilson loop in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. Specifically, we consider correlation functions of two large charge insertions and several…

High Energy Physics - Theory · Physics 2022-04-07 Simone Giombi , Shota Komatsu , Bendeguz Offertaler

We consider two-point correlators of local operator insertions in a system of two Wilson-Maldacena loops in ${\cal N}=4$ supersymmetric Yang-Mills theory on both sides of the AdS/CFT correspondence. On the holographic side the correlator of…

High Energy Physics - Theory · Physics 2023-12-01 Diego H. Correa , Alberto Faraggi , Wolfgang Mück , Leopoldo A. Pando Zayas , Guillermo A. Silva