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BPS Wilson loops in supersymmetric gauge theories have been the subjects of active research since they are often amenable to exact computation. So far most of the studies have focused on loops that do not intersect. In this paper, we derive…

High Energy Physics - Theory · Physics 2020-07-15 Simone Giombi , Shota Komatsu

We study $\frac{1}{4}$-BPS Wilson loops in four-dimensional SU$(N$) ${\mathcal{N}}=2$ super-Yang-Mills theories with conformal matter in an arbitrary representation $\mathcal{R}$. These operators are formed of two meridians on the…

High Energy Physics - Theory · Physics 2025-05-07 Luca Griguolo , Luigi Guerrini , Alessandro Testa

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 study string quantum corrections to the ratio of latitude and circular Wilson loops in N=4 super-Yang-Mills theory at strong coupling. Conformal gauge for the corresponding minimal surface in AdS(5)xS(5) is singular and we show that an…

High Energy Physics - Theory · Physics 2018-04-04 Alessandra Cagnazzo , Daniel Medina-Rincon , Konstantin Zarembo

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

Using $\zeta$-function regularization, we study the one-loop effective action of fundamental strings in $AdS_5\times S^5$ dual to the latitude $\frac{1}{4}$-BPS Wilson loop in $\mathcal{N}=4$ Super-Yang-Mills theory. To avoid certain…

High Energy Physics - Theory · Physics 2018-08-15 Jeremías Aguilera-Damia , Alberto Faraggi , Leopoldo A. Pando Zayas , Vimal Rathee , Guillermo A. Silva

We study the expectation values of Wilson-loop operators with the insertionsof local operators Z^J and Zbar^J with large R-charge J from the bulk viewpoint of AdS/CFT correspondence. Classical solutions of strings attached to such deformed…

High Energy Physics - Theory · Physics 2009-11-11 Akitsugu Miwa , Tamiaki Yoneya

We consider a supersymmetric Wilson loop operator for 4d N=4 super Yang-Mills theory which is the natural object dual to the AdS_5 x S^5 superstring in the AdS/CFT correspondence. It generalizes the traditional bosonic 1/2 BPS…

High Energy Physics - Theory · Physics 2016-01-05 Niklas Beisert , Dennis Muller , Jan Plefka , Cristian Vergu

String solitons in AdS_5 contain information of N=4 SUSY Yang-Mills theories on the boundary. Recent proposals for rotating string solitons reproduce the spectrum for anomalous dimensions of Wilson operators for the boundary theory. There…

High Energy Physics - Theory · Physics 2009-11-07 Minos Axenides , Emmanuel Floratos , Alex Kehagias

We revisit the computation of the 1-loop string correction to the "latitude" minimal surface in $AdS_5 \times S^5$ representing 1/4 BPS Wilson loop in planar $\cal N$=4 SYM theory previously addressed in arXiv:1512.00841 and…

High Energy Physics - Theory · Physics 2017-04-05 V. Forini , A. A. Tseytlin , E. Vescovi

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 find a new supersymmetric solution of type IIB supergravity which is holographically dual to the planar limit of the four-dimensional $\mathcal{N}=2^*$ supersymmetric Yang-Mills theory on $S^4$. We study a probe fundamental string in…

High Energy Physics - Theory · Physics 2018-05-23 Nikolay Bobev , Fridrik Freyr Gautason , Jesse van Muiden

We compute the 1-loop correction to the effective action for the string solution in AdS_5 x S^5 dual to the circular Wilson loop. More generically, the method we use can be applied whenever the two dimensional spectral problem factorizes,…

High Energy Physics - Theory · Physics 2009-11-19 M. Kruczenski , A. Tirziu

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 compute the correlation function between a circular half-BPS Wilson loop (or straight Wilson line) and a local operator in ABJM theory utilizing its M-theory description. The local operator can be a $1/3$-BPS single-trace chiral primary…

High Energy Physics - Theory · Physics 2026-01-21 Xiao-Yi Zhang , Yunfeng Jiang , Jun-Bao Wu

Using supersymmetric localization we compute the free energy and BPS Wilson loop vacuum expectation values for planar maximally supersymmetric Yang-Mills theory on $S^d$ in the strong coupling limit for $2\leq d<6$. The same calculation can…

High Energy Physics - Theory · Physics 2020-04-22 Nikolay Bobev , Pieter Bomans , Fridrik Freyr Gautason , Joseph A. Minahan , Anton Nedelin

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

We study the two circular Wilson loop correlator in which one is of anti-symmetric representation, while the other is of fundamental representation in 4-dimensional ${\cal N}=4$ super Yang-Mills theory. This correlator has a good AdS dual,…

High Energy Physics - Theory · Physics 2010-10-27 Ta-Sheng Tai , Satoshi Yamaguchi

The exact localization result for the expectation value of the $1\over 2$ BPS circular Wilson loop in ${\cal N}=4$ SYM theory is given in the planar limit by the famous Bessel function expression: $\langle W\rangle = {2N\over \sqrt \lambda…

High Energy Physics - Theory · Physics 2026-03-10 Matteo Beccaria , Stefan A. Kurlyand , Arkady A. Tseytlin

Holographic duality provides a microscopic interpretation of asymptotically Anti-de Sitter supergravity solutions. The dual states of the field theory give rise to expectation values of light operators. These expectation values correspond…

High Energy Physics - Theory · Physics 2025-07-04 David Turton , Alexander Tyukov