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We calculate planar tree level one-point functions of non-protected operators in the defect conformal field theory dual to the D3-D5 brane system with k units of the world volume flux. Working in the operator basis of Bethe eigenstates of…

High Energy Physics - Theory · Physics 2015-09-30 Marius de Leeuw , Charlotte Kristjansen , Konstantin Zarembo

In this review we discuss recent advances in the computation of one-point functions in defect conformal field theories with holographic duals. We briefly review the appearance of integrable spin chains in N=4 super Yang--Mills theory and…

High Energy Physics - Theory · Physics 2020-08-26 Marius de Leeuw

We calculate the leading contributions to the connected two-point functions of protected scalar operators in the defect version of N=4 SYM theory which is dual to the D5-D3 probe-brane system with k units of background gauge field flux.…

High Energy Physics - Theory · Physics 2022-08-24 Marius de Leeuw , Asger C. Ipsen , Charlotte Kristjansen , Kasper E. Vardinghus , Matthias Wilhelm

We take the first step in extending the integrability approach to one-point functions in AdS/dCFT to higher loop orders. More precisely, we argue that the formula encoding all tree-level one-point functions of SU(2) operators in the defect…

High Energy Physics - Theory · Physics 2018-01-03 Isak Buhl-Mortensen , Marius de Leeuw , Asger C. Ipsen , Charlotte Kristjansen , Matthias Wilhelm

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

I focus on the scalar one-point functions in SO(6) sector of D5-D3 probe-brane set-up. Start with a general introduction of integrability, I explore both coordinate Bethe ansatz and algebraic Bethe ansatz, with possible generalization. I…

High Energy Physics - Theory · Physics 2025-07-22 Xin Qian

We study tree level one-point functions of non-protected scalar operators in the defect CFT, based on N=4 SYM, which is dual to the SO(5) symmetric D3-D7 probe brane system with non-vanishing instanton number. Whereas symmetries prevent…

High Energy Physics - Theory · Physics 2018-06-06 Marius de Leeuw , Charlotte Kristjansen , Georgios Linardopoulos

We develop an integrability-based framework to compute structure constants of two sub-determinant operators and a single-trace non-BPS operator in ABJM theory in the planar limit. In this first paper, we study them at weak coupling using a…

High Energy Physics - Theory · Physics 2022-02-01 Peihe Yang , Yunfeng Jiang , Shota Komatsu , Jun-Bao Wu

We study three-point correlation functions of local operators in planar $\mathcal{N}=4$ SYM at weak coupling using integrability. We consider correlation functions involving two scalar BPS operators and an operator with spin, in the so…

High Energy Physics - Theory · Physics 2015-06-18 Pedro Vieira , Tianheng Wang

We review the general procedure for the field-theoretical computation of wrapping effects in standard and beta-deformed N=4 super Yang-Mills by means of N=1 superspace techniques. In the undeformed theory, these methods allowed to find…

High Energy Physics - Theory · Physics 2010-07-14 Francesco Fiamberti , Alberto Santambrogio , Christoph Sieg

We develop a novel nonperturbative approach to a class of three-point functions in planar $\mathcal{N}=4$ SYM based on Thermodynamic Bethe Ansatz (TBA). More specifically, we study three-point functions of a non-BPS single-trace operator…

High Energy Physics - Theory · Physics 2020-08-26 Yunfeng Jiang , Shota Komatsu , Edoardo Vescovi

We determine the missing finite-size corrections to the asymptotic one-loop dilatation operator of the real $\beta$-deformed $\mathcal{N}=4$ SYM theory for the gauge groups $U(N)$ and $SU(N)$ in the 't Hooft limit. In the $SU(N)$ case, the…

High Energy Physics - Theory · Physics 2015-03-31 Jan Fokken , Christoph Sieg , Matthias Wilhelm

We compute the one-loop effective action in \N=1 conformal SU(N) gauge theory which is an exactly marginal deformation of the \N=4 SYM theory. We consider an abelian background of constant \N = 1 gauge field and single chiral scalar. While…

High Energy Physics - Theory · Physics 2009-09-17 S. M. Kuzenko , A. A. Tseytlin

We propose a closed formula for the tree-level one-point functions of non-protected operators belonging to an SU(3) sub-sector of the defect CFT dual to the D3-D5 probe brane system with background gauge field flux, k, valid for k=2. The…

High Energy Physics - Theory · Physics 2016-10-26 Marius de Leeuw , Charlotte Kristjansen , Stefano Mori

We study finite size effects for composite operators in the SU(2) sector of the superconformal beta-deformed N=4 SYM theory. In particular we concentrate on the spectrum of one single magnon. Since in this theory one-impurity states are non…

High Energy Physics - Theory · Physics 2008-11-26 F. Fiamberti , A. Santambrogio , C. Sieg , D. Zanon

We derive one-point functions in 4d $\mathcal N=4$ SYM with $\tfrac{1}{2}$-BPS boundaries, defects and interfaces which host large numbers of defect degrees of freedom. The theories are engineered by Gaiotto-Witten D3/D5/NS5 brane setups…

High Energy Physics - Theory · Physics 2025-10-06 Dongming He , Christoph F. Uhlemann

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 a particular set of two-point functions in the setting of N = 4 SYM with a defect, dual to the fuzzy-funnel solution for the probe D5-D3-brane system. The two-point functions in focus involve a single trace operator in the…

High Energy Physics - Theory · Physics 2017-10-11 Erik Widen

One-point functions of certain non-protected scalar operators in the defect CFT dual to the D3-D5 probe brane system with k units of world volume flux can be expressed as overlaps between Bethe eigenstates of the Heisenberg spin chain and a…

High Energy Physics - Theory · Physics 2016-03-23 Isak Buhl-Mortensen , Marius de Leeuw , Charlotte Kristjansen , Konstantin Zarembo

We study two-point functions of single-trace half-BPS operators in the presence of a supersymmetric Wilson line in $\mathcal{N}=4$ SYM. We use inversion formula technology in order to reconstruct the CFT data starting from a single…

High Energy Physics - Theory · Physics 2022-09-30 Julien Barrat , Aleix Gimenez-Grau , Pedro Liendo
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