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By using the Hamiltonian version of the AdS/CFT correspondence, we compute the two-point Green function of a local operator in D=4 N=4 super Yang-Mills theory, which corresponds to a massive antisymmetric tensor field of the second rank on…

High Energy Physics - Theory · Physics 2009-10-31 G. E. Arutyunov , S. A. Frolov

We present an analytic study of conformal field theories on the real projective space $\mathbb{RP}^d$, focusing on the two-point functions of scalar operators. Due to the partially broken conformal symmetry, these are non-trivial functions…

High Energy Physics - Theory · Physics 2021-08-11 Simone Giombi , Himanshu Khanchandani , Xinan Zhou

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…

High Energy Physics - Theory · Physics 2017-10-25 Andrea Galliani , Stefano Giusto , Rodolfo Russo

We consider two instances of boundary conditions for massless scalars on $AdS_2$ that interpolate between the Dirichlet and Neumann cases while preserving scale invariance. Assessing invariance under the full $SL(2;\mathds{R})$ conformal…

High Energy Physics - Theory · Physics 2023-02-15 Anthonny F. Canazas Garay , Diego H. Correa , Alberto Faraggi , Guillermo A. Silva

We study the correlators of bulk and defect half-BPS operators in $\mathcal{N}=4$ Super Yang-Mills theory with a Maldacena-Wilson line defect, focusing on the case involving one bulk and two defect local operators. We analyze the…

High Energy Physics - Theory · Physics 2026-01-15 Daniele Artico , Julien Barrat , Yingxuan Xu

We identify the symmetry underlying the recently observed spectral-parameter transformations of holographic Wilson loops alias minimal surfaces in AdS/CFT. The generator of this nonlocal symmetry is shown to furnish a raising operator on…

High Energy Physics - Theory · Physics 2018-05-08 Thomas Klose , Florian Loebbert , Hagen Munkler

We study stringy fluctuations as a source for corrections to the Wilson loop as obtained from the superstrings on (adS_5 x S^5)/ N=4 SYM correspondence. We give a formal expression in terms of determinants of two dimensional operators for…

High Energy Physics - Theory · Physics 2009-10-31 Stefan Forste , Debashis Ghoshal , Stefan Theisen

This paper studies in great detail a family of supersymmetric Wilson loop operators in N=4 supersymmetric Yang-Mills theory we have recently found. For a generic curve on an S^3 in space-time the loops preserve two supercharges but we will…

High Energy Physics - Theory · Physics 2008-11-26 Nadav Drukker , Simone Giombi , Riccardo Ricci , Diego Trancanelli

We study the two-point correlation functions of chiral/anti-chiral operators in $N=2$ supersymmetric Yang-Mills theories on $R^4$ with gauge group SU(N) and $N_f$ massless hypermultiplets in the fundamental representation. We compute them…

High Energy Physics - Theory · Physics 2019-06-26 M. Billo , F. Fucito , G. P. Korchemsky , A. Lerda , J. F. Morales

The AdS/CFT correspondence identifies the coordinates of the conformal boundary of anti-de Sitter space with the coordinates of the conformal field theory. We generalize this identification to theories formulated in superspace. As an…

High Energy Physics - Theory · Physics 2009-10-31 Hirosi Ooguri , J. Rahmfeld , Harlan Robins , Jonathan Tannenhauser

We consider the ratio of the correlation function of an hexagon light-like Wilson loop with one local operator over the expectation value of the Wilson loop within the strong-coupling regime of the AdS/CFT correspondence. We choose the…

High Energy Physics - Theory · Physics 2013-09-30 Rafael Hernandez , Juan Miguel Nieto

We study an anisotropic scale transformation in the worldsheet description of D3-branes in Type IIB theory, and show that the transformation is really a symmetry in a region near D3-branes. AdS/CFT correspondence follows from this symmetry.…

High Energy Physics - Theory · Physics 2008-11-26 Hikaru Kawai , Takao Suyama

Witten diagrams provide a perturbative framework for calculations in Anti-de-Sitter space, and play an essential role in a variety of holographic computations. In the case of this study in AdS$_2$, the one-dimensional boundary allows for a…

High Energy Physics - Theory · Physics 2023-10-23 Gabriel Bliard

We study Wilson loops in string theory realizations of AdS/BCFT and wedge holography. The field theories are based on 3d $\mathcal N=4$ long quiver gauge theories engineered by D3, D5 and NS5 branes, and on BCFTs involving 4d $\mathcal N=4$…

High Energy Physics - Theory · Physics 2022-04-13 Lorenzo Coccia , Christoph F. Uhlemann

We present a two-loop calculation of the supersymmetric circular Wilson loop in the N=2* super Yang-Mills theory on the four-sphere. We develop an efficient framework for computing contributing Feynman graphs that relies on using the…

High Energy Physics - Theory · Physics 2021-04-28 A. V. Belitsky , G. P. Korchemsky

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

In this note we study supersymmetric Wilson loops restricted to an S^2 submanifold of four-dimensional space in N=4 super Yang-Mills. We provide evidence from both perturbation theory and the AdS dual that those loops are equal to the…

High Energy Physics - Theory · Physics 2008-11-26 Nadav Drukker , Simone Giombi , Riccardo Ricci , Diego Trancanelli

This note is aimed at presenting a new algebraic approach to momentum-space correlators in conformal field theory. As an illustration we present a new Lie-algebraic method to compute frequency-space two-point functions for charged scalar…

High Energy Physics - Theory · Physics 2013-12-13 Satoshi Ohya

Since euclidean global AdS_2 space represented as a strip has two boundaries, the state / operator correspondence in the dual CFT_1 reduces to the standard map from the operators acting on a single copy of the Hilbert space to states in the…

High Energy Physics - Theory · Physics 2011-12-16 Ashoke Sen

We study the fate of reparametrization invariance of Wilson loops, also known as 'zig-zag' symmetry, under the RG flow using some simple cases as guidance. We restrict our analysis to large-$N$, strongly coupled CFTs and use the holographic…

High Energy Physics - Theory · Physics 2022-10-26 Diego Gutiez , Carlos Hoyos