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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 propose a method to calculate the expectation values of an operator similar to the Wilson loop in the large N limit of field theories. We consider N=4 3+1 dimensional super-Yang-Mills. The prescription involves calculating the area of a…

High Energy Physics - Theory · Physics 2016-09-06 Juan M. Maldacena

We study the correlation function of two circular Wilson loops at strong coupling in N=4 super Yang-Mills theory. Using the AdS/CFT correspondence, the problem maps to finding the minimal surface between two circles defined on the boundary…

High Energy Physics - Theory · Physics 2015-06-17 Amit Dekel , Thomas Klose

We present a proposal for the description of the Higgs branch of four-dimensional N=2 supersymmetric Yang-Mills theories in the context of the AdS/CFT correspondence. We focus on a finite Sp(N) N=2 theory arising as dual of a configuration…

High Energy Physics - Theory · Physics 2008-11-26 Zachary Guralnik , Stefano Kovacs , Bogdan Kulik

We show that all half-BPS Wilson loop operators in N=4 SYM -- which are labeled by Young tableaus -- have a gravitational dual description in terms of D5-branes or alternatively in terms of D3-branes in AdS_5xS^5. We prove that the…

High Energy Physics - Theory · Physics 2009-11-11 Jaume Gomis , Filippo Passerini

According to the AdS/CFT correspondence, the ${\cal N}=4$ supersymmetric Yang-Mills (SYM) theory is studied through its gravity dual whose configuration has two boundaries at the opposite sides of the fifth coordinate. At these boundaries,…

High Energy Physics - Theory · Physics 2014-03-26 Kazuo Ghoroku , Masafumi Ishihara , Akihiro Nakamura

We systematically study the spectrum of excitations and the one-loop determinant of holographic Wilson loop operators in antisymmetric representations of $\mathcal{N}=4$ supersymmetric Yang-Mills theory. Holographically, these operators are…

High Energy Physics - Theory · Physics 2013-05-30 Alberto Faraggi , Wolfgang Mueck , Leopoldo A. Pando Zayas

We study singular time-dependent $\frac{1}{8}$-BPS configurations in the abelian sector of ${{\mathcal N}= 4}$ supersymmetric Yang-Mills theory that represent BPS string-like defects in ${{\mathbb R}\times S^3}$ spacetime. Such BPS strings…

High Energy Physics - Theory · Physics 2021-02-03 Sujay K. Ashok , Varun Gupta , Nemani V. Suryanarayana

The space of ${\cal N}=4$ supersymmetric Yang-Mills theories exhibits an intricate structure of global one-form symmetries and $SL(2,\mathbb{Z})$ duality orbits. In this paper we study this structure from the point of view of the…

High Energy Physics - Theory · Physics 2022-11-30 Oren Bergman , Shinji Hirano

Let $\mathfrak{g}$ be a simple Lie algebra. We study 1/2-BPS Wilson loops of supersymmetric 5d $\mathfrak{g}$-type quiver gauge theories on a circle, in a non-trivial instanton background. The Wilson loops are codimension 4 defects of the…

High Energy Physics - Theory · Physics 2024-10-01 Nathan Haouzi , Can Kozçaz

In earlier work we proposed a string theory dual to two dimensional Yang-Mills theory at zero coupling (which can also be thought of as a $BF$ theory), given by a Polyakov-like generalization of Ho\v rava's topological rigid string theory,…

High Energy Physics - Theory · Physics 2025-10-28 Ofer Aharony , Suman Kundu , Tal Sheaffer

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

The recent proposal on the correspondence between the ${\cal N}=4$ super Yang-Mills theory and string theory in the Penrose limit of the AdS$_5\times$S$^5$ geometry involves a few puzzles from the viewpoint of holographic principle,…

High Energy Physics - Theory · Physics 2009-11-07 S. Dobashi , H. Shimada , T. Yoneya

The AdS/CFT correspondence provides a rich testing ground for many important topics in theoretical physics. The earliest and most striking example of the correspondence is the conjectured duality between the energy spectrum of type IIB…

High Energy Physics - Theory · Physics 2007-05-23 Ian Swanson

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 initiate the calculation of quantum corrections to Wilson loops in a class of four-dimensional defect conformal field theories with vacuum expectation values based on N=4 super Yang-Mills theory. Concretely, we consider an infinite…

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

We consider 1/2-BPS circular Wilson loops in a class of 5d superconformal field theories on S^5. The large N limit of the vacuum expectation values of Wilson loops are computed both by localization in the field theory and by evaluating the…

High Energy Physics - Theory · Physics 2014-02-20 Benjamin Assel , John Estes , Masahito Yamazaki

We propose an integrability setup for the computation of correlation functions of gauge-invariant operators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory at higher orders in the large $N_{\text{c}}$ genus expansion and at any order in…

High Energy Physics - Theory · Physics 2019-06-05 Till Bargheer , Joao Caetano , Thiago Fleury , Shota Komatsu , Pedro Vieira

Maximally supersymmetric Yang-Mills theories have several remarkable properties, among which are the cancellation of UV divergences, factorization of higher loop corrections and possible integrability. Much attention has been attracted to…

High Energy Physics - Theory · Physics 2015-06-19 L. V. Bork , D. I. Kazakov , D. E. Vlasenko

We consider supersymmetric Wilson loops of the variety constructed by Drukker, Giombi, Ricci, and Trancanelli, whose spatial contours lie on a two-sphere. Working to second order in the 't Hooft coupling in planar N=4 Supersymmetric…

High Energy Physics - Theory · Physics 2015-03-13 Donovan Young