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We compute the 1-loop partition function for strings in $AdS_4\times\mathbb{CP}^3$, whose worldsheets end along a line with small cusp angles in the boundary of AdS. We obtain these 1-loop results in terms of the vacuum energy for on-shell…

High Energy Physics - Theory · Physics 2015-06-23 Jeremias Aguilera-Damia , Diego H. Correa , Guillermo A. Silva

We consider a fundamental string in a bubbling geometry of arbitrary genus dual to a half-supersymmetric Wilson loop in a general large representation $\mathbf{R}$ of the $SU(N)$ gauge group in ${\cal N}=4$ Supersymmetric Yang-Mills. We…

We reconsider semiclassical quantization of folded string spinning in AdS_3 part of AdS_5 X S^5 using integrability-based (algebraic curve) method. We focus on the "short string" (small spin S) limit with the angular momentum J in S^5…

High Energy Physics - Theory · Physics 2015-06-03 Matteo Beccaria , Guido Macorini

We study correlation functions of local operators and Wilson loop expectation values in the planar limit of a 4d $\mathcal{N}=2$ superconformal ${\rm SU}(N)$ YM theory with hypermultiplets in the symmetric and antisymmetric representations…

High Energy Physics - Theory · Physics 2023-10-06 Nikolay Bobev , Pieter-Jan De Smet , Xuao Zhang

We compute a set of correlation functions of operator insertions on the 1/8 BPS Wilson loop in $\mathcal{N}=4$ SYM by employing supersymmetric localization, OPE and the Gram-Schmidt orthogonalization. These correlators exhibit a simple…

High Energy Physics - Theory · Physics 2018-11-09 Simone Giombi , Shota Komatsu

Using supersymmetric localization, we study the sector of chiral primary operators $({\rm Tr} \, \phi^2 )^n$ with large $R$-charge $4n$ in $\mathcal{N}=2$ four-dimensional superconformal theories in the weak coupling regime $g\rightarrow…

High Energy Physics - Theory · Physics 2018-06-13 Antoine Bourget , Diego Rodriguez-Gomez , Jorge G. Russo

We calculate correlation functions of the R-current or the stress-energy tensor T_{\mu\nu} with two non-protected operators dual to generic massive string states with rotation in S^5, in the context of the AdS/CFT correspondence. Field…

High Energy Physics - Theory · Physics 2015-06-12 George Georgiou , Bum-Hoon Lee , Chanyong Park

A systematic approach to the study of semiclassical fluctuations of strings in AdS_5 x S^5 based on the Green-Schwarz formalism is developed. We show that the string partition function is well defined and finite. Issues related to different…

High Energy Physics - Theory · Physics 2009-10-31 Nadav Drukker , David J. Gross , Arkady Tseytlin

Correlation functions of operators with a conformal dimension of O(N^2) are not well approximated by the planar limit. The non-planar diagrams, which in the bulk spacetime correspond to string loop corrections, are enhanced by huge…

High Energy Physics - Theory · Physics 2009-09-28 Robert de Mello Koch , Tanay K. Dey , Norman Ives , Michael Stephanou

We consider the leading large string tension correction to correlation functions of three vertex operators of particular massive string states in AdS_5 x S^5 string theory. We assume that two of these states are "heavy" carrying large spins…

High Energy Physics - Theory · Physics 2010-12-24 R. Roiban , A. A. Tseytlin

We investigate the supersymmetric Wilson loops in $d=3$ $\mathcal{N}=4$ super Chern-Simons-matter theory obtained from non-chiral orbifold of ABJM theory. We work in both Minkowski spacetime and Euclidean space, and we construct 1/4 and 1/2…

High Energy Physics - Theory · Physics 2015-12-04 Hao Ouyang , Jun-Bao Wu , Jia-ju Zhang

We study four-point correlation functions of half-BPS operators of arbitrary weight for all dimensions d=3,4,5,6 where superconformal theories exist. Using harmonic superspace techniques, we derive the superconformal Ward identities for…

High Energy Physics - Theory · Physics 2008-11-26 Francis A. Dolan , Laurent Gallot , Emery Sokatchev

We construct new large classes of BPS Wilson hyperloops in three-dimensional ${\cal N}=4$ quiver Chern-Simons-matter theory on $S^3$. The main strategy is to start with the 1/2 BPS Wilson loop of this theory, choose any linear combination…

High Energy Physics - Theory · Physics 2022-08-22 Nadav Drukker , Ziwen Kong , Malte Probst , Marcia Tenser , Diego Trancanelli

We study the 1/2 BPS circular Wilson loop in four-dimensional SU(N), $N = 2$ SYM theories with massless hypermultiplets and non-vanishing $\beta$-function. Using super-symmetric localization on $S_4$ , we map the path-integral associated…

High Energy Physics - Theory · Physics 2024-10-22 Marco Billo' , Luca Griguolo , Alessandro Testa

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 continue our study of large charge limits of the defect CFT defined by the half-BPS Wilson loop in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. In this paper, we compute $1/J$ corrections to the correlation function of two…

High Energy Physics - Theory · Physics 2022-08-24 Simone Giombi , Shota Komatsu , Bendeguz Offertaler

We study supersymmetric Wilson loop operators in ABJM theory from both sides of the AdS_4/CFT_3 correspondence. We first construct some supersymmetric Wilson loops. The perturbative computations are performed in the field theory side at the…

High Energy Physics - Theory · Physics 2009-11-09 Bin Chen , Jun-Bao Wu

Localization approach to $\mathcal N=2$ superconformal $SU(N) \times SU(N)$ quiver theory leads to a non-Gaussian two-matrix model representation for the expectation value of BPS circular $SU(N)$ Wilson loop $\langle\mathcal W\rangle$. We…

High Energy Physics - Theory · Physics 2022-07-27 Matteo Beccaria , Arkady A. Tseytlin

We complete the program of 2012.15792 about perturbative approaches for $\mathcal{N}=2$ superconformal quiver theories in four dimensions. We consider several classes of observables in presence of Wilson loops, and we evaluate them with the…

High Energy Physics - Theory · Physics 2021-11-24 Francesco Galvagno , Michelangelo Preti

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