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Related papers: Defect correlators in a $\mathcal{N}=2$ SCFT at st…

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We apply the AdS/CFT correspondence to derive expressions for the scattering amplitudes at high energy for gauge theories at strong coupling. A method is proposed based on the computation of correlators of Wilson loop operators by their…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Peschanski

We construct loop operators in two dimensional Toda CFT and calculate with them the exact expectation value of certain supersymmetric 't Hooft and dyonic loop operators in four dimensional \Ncal=2 gauge theories with SU(N) gauge group.…

High Energy Physics - Theory · Physics 2017-01-04 Jaume Gomis , Bruno Le Floch

We study the correlators of a recently discovered family of BPS Wilson loops in ${\cal N}=4$ supersymmetric U(N) Yang-Mills theory. When the contours lie on a two-sphere in the space-time, we propose a closed expression that is valid for…

High Energy Physics - Theory · Physics 2009-08-24 A. Bassetto , L. Griguolo , F. Pucci , D. Seminara , S. Thambyahpillai , D. Young

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…

High Energy Physics - Theory · Physics 2017-09-07 Marcos Marino , Gregory Moore

We use the embedding formalism to study correlation functions of a d-dimensional Euclidean CFT in the presence of a $q$ co-dimensional defect. The defect breaks the global conformal group $SO(d+1,1)$ into $SO(d-q+1,1) \times SO(q)$. We…

High Energy Physics - Theory · Physics 2018-11-06 Sunny Guha , Balakrishnan Nagaraj

We consider $U(N)$ $\mathcal N=4$ super Yang-Mills theory and discuss how to extract the strong coupling limit of non-planar corrections to observables involving the $\frac{1}{2}$-BPS Wilson loop. Our approach is based on a suitable saddle…

High Energy Physics - Theory · Physics 2021-05-12 Matteo Beccaria , Azeem Hasan

We analyze the strong coupling behavior of the large N gauge theories in 4-dimensions with N=4 supersymmetry by making use of S-duality. We show that at large values of the coupling constant $\lambda=g_{YM}^2N$ the j-th non-planar amplitude…

High Energy Physics - Theory · Physics 2007-05-23 Tohru Eguchi

We propose a scheme for determining a generalised scaling function, namely the Sudakov factor in a peculiar double scaling limit for high spin and large twist operators belonging to the $sl(2)$ sector of planar ${\cal N}=4$ SYM. In…

High Energy Physics - Theory · Physics 2009-02-02 Davide Fioravanti , Paolo Grinza , Marco Rossi

We present a dispersion relation for defect CFT that reconstructs two-point functions in the presence of a defect as an integral of a single discontinuity. The main virtue of this formula is that it streamlines explicit bootstrap…

High Energy Physics - Theory · Physics 2023-03-22 Julien Barrat , Aleix Gimenez-Grau , Pedro Liendo

We study a D3-D5 system dual to a conformal field theory with a codimension-one defect that separates regions where the ranks of the gauge groups differ by $k$. With the help of this additional parameter, as observed by Nagasaki, Tanida and…

High Energy Physics - Theory · Physics 2017-04-05 Jeremias Aguilera-Damia , Diego H. Correa , Victor I. Giraldo-Rivera

We study four-point functions of spinning operators in the flavor current multiplet in four dimensional $\mathcal{N}=2$ SCFTs, using superspace techniques. In particular we explicitly construct the differential operators relating the…

High Energy Physics - Theory · Physics 2023-01-26 Agnese Bissi , Giulia Fardelli , Andrea Manenti , Xinan Zhou

We study the large $N$ and large representation limits of the Schur line defect correlators of the Wilson line operators transforming in the (anti)symmetric, hook and rectangular representations for $\mathcal{N}=4$ $U(N)$ super Yang-Mills…

High Energy Physics - Theory · Physics 2024-01-19 Yasuyuki Hatsuda , Tadashi Okazaki

We perform exact computations of correlation functions of 1/2-BPS local operators and protected operator insertions on the 1/8-BPS Wilson loop in $\mathcal{N}=4$ SYM. This generalizes the results of our previous paper arXiv:1802.05201,…

High Energy Physics - Theory · Physics 2019-05-22 Simone Giombi , Shota Komatsu

We examine the relation between supersymmetric localization on $\mathbb{S}^4$ and standard QFT results for non-conformal theories in flat space. Specifically, we consider 1/2 BPS circular Wilson loops in four-dimensional SU($N$)…

High Energy Physics - Theory · Physics 2024-08-14 Marco Billo' , Luca Griguolo , Alessandro Testa

The half-supersymmetric Wilson loop in $\mathcal N=4$ SYM is arguably the central non-local operator in the AdS/CFT correspondence. On the field theory side, the vacuum expectation values of Wilson loops in arbitrary representations of…

High Energy Physics - Theory · Physics 2016-02-02 Alberto Faraggi , James T. Liu , Leopoldo A. Pando Zayas , Guojun Zhang

We compute correlation functions of chiral primary operators in N=2 superconformal theories at large N using a construction based on supersymmetric localization recently developed by Gerchkovitz et al. We focus on N=4 SYM as well as on…

High Energy Physics - Theory · Physics 2016-07-20 Diego Rodriguez-Gomez , Jorge G. Russo

We consider higher spin operators in weakly coupled gauge conformal field theories. Crossing symmetry of mixed scalar correlators relates different higher spin towers and we study the consequences for the spectrum and structure constants of…

High Energy Physics - Theory · Physics 2018-01-17 Luis F. Alday , Agnese Bissi

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…

High Energy Physics - Theory · Physics 2015-05-28 George Georgiou

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

We study correlation functions in the one-dimensional $\mathcal{N}=2$ supersymmetric SYK model. The leading order 4-point correlation functions are computed by summing over ladder diagrams expanded in a suitable basis of conformal…

High Energy Physics - Theory · Physics 2017-11-22 Cheng Peng , Marcus Spradlin , Anastasia Volovich