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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

We test the AdS/CFT correspondence by calculating Wilson loops in N = 4 super Yang-Mills theory on R*S^3 in the planar limit. Our method is based on a novel large-N reduction, which reduces the problem to Monte Carlo calculations in the…

High Energy Physics - Lattice · Physics 2011-12-20 Masazumi Honda , Goro Ishiki , Jun Nishimura , Asato Tsuchiya

I consider three-point functions of twist-one operators in ABJM at weak coupling. I compute the structure constant of correlators involving one twist-one un-protected operator and two protected ones for a few finite values of the spin, up…

High Energy Physics - Theory · Physics 2020-10-28 Marco S. Bianchi

The evaluation of BPS Wilson loops in N=6, D=3 Chern-Simons matter theory is reduced to ordinary matrix integrals via localization technique. It is easy to check that the vacuum expectation value of 1/2 BPS Wilson loops at leading order in…

High Energy Physics - Theory · Physics 2015-06-04 Hyojoong Kim , Nakwoo Kim , Jung Hun Lee

We study the stress tensor multiplet four-point function in the 3d maximally supersymmetric ABJ(M) theory with Chern-Simons level $k=2$, which in the large $N$ limit is holographically dual to weakly coupled M-theory on $AdS_4\times…

High Energy Physics - Theory · Physics 2022-02-16 Luis F. Alday , Shai M. Chester , Himanshu Raj

We discuss the near BPS expansion of the generalized cusp anomalous dimension with L units of R-charge. Integrability provides an exact solution, obtained by solving a general TBA equation in the appropriate limit: we propose here an…

High Energy Physics - Theory · Physics 2016-03-23 Marisa Bonini , Luca Griguolo , Michelangelo Preti , Domenico Seminara

In this paper we complete the exploration of connected components of the space of BPS Wilson loops in three-dimensional $\mathcal{N}=4$ Chern-Simons-matter theory on $S^3$. The algorithm is to start with a supersymmetric Wilson loop, choose…

High Energy Physics - Theory · Physics 2023-07-05 Ziwen Kong

Adapting a method recently proposed by C. Marboe and D. Volin for ${\cal N}$=4 super-Yang-Mills, we develop an algorithm for a systematic weak coupling expansion of the spectrum of anomalous dimensions in the $sl(2)$-like sector of planar…

High Energy Physics - Theory · Physics 2015-11-18 Lorenzo Anselmetti , Diego Bombardelli , Andrea Cavaglià , Roberto Tateo

We study the quantum properties of certain BPS Wilson loops in ${\cal N}=4$ supersymmetric Yang-Mills theory. They belong to a general family, introduced recently, in which the addition of particular scalar couplings endows generic loops on…

High Energy Physics - Theory · Physics 2014-11-18 Antonio Bassetto , Luca Griguolo , Fabrizio Pucci , Domenico Seminara

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 address a longstanding question of whether ABJM theory has Wilson loop operators preserving eight supercharges (so 1/3 BPS). We present such Wilson loops made of a large supermatrix combining two 1/2 BPS Wilson loops. We study the…

High Energy Physics - Theory · Physics 2023-07-12 Nadav Drukker , Ziwen Kong

We construct the one-dimensional topological sector of $\mathcal N = 6$ ABJ(M) theory and study its relation with the mass-deformed partition function on $S^3$. Supersymmetric localization provides an exact representation of this partition…

High Energy Physics - Theory · Physics 2021-06-17 Nicola Gorini , Luca Griguolo , Luigi Guerrini , Silvia Penati , Domenico Seminara , Paolo Soresina

We investigate the large N limit of the expectation value W(\lambda) of a BPS Wilson loop in ABJM theory, using an integral expression of the partition function obtained recently by Kapustin et.al. Certain saddle-point equations provide the…

High Energy Physics - Theory · Physics 2010-08-04 Takao Suyama

We study light-like polygonal Wilson loops in three-dimensional Chern-Simons and ABJM theory to two-loop order. For both theories we demonstrate that the one-loop contribution to these correlators cancels. For pure Chern-Simons, we find…

High Energy Physics - Theory · Physics 2015-03-13 Johannes M. Henn , Jan Plefka , Konstantin Wiegandt

The quantization of semiclassical strings in AdS spacetimes yields predictions for the strong-coupling behaviour of the scaling dimensions of the corresponding operators in the planar limit of the dual gauge theory. Finding non-planar…

High Energy Physics - Theory · Physics 2024-12-19 Simone Giombi , Stefan A. Kurlyand , Arkady A. Tseytlin

We continue our study of the correlators of a recently discovered family of BPS Wilson loops in N=4 supersymmetric U(N) Yang-Mills theory. We perform explicit computations at weak coupling by means of analytical and numerical methods…

High Energy Physics - Theory · Physics 2010-04-23 Antonio Bassetto , Luca Griguolo , Fabrizio Pucci , Domenico Seminara , Shiyamala Thambyahpillai , Donovan Young

We investigate the planar solution of matrix models derived from various Chern-Simons-matter theories compatible with the planar limit. The saddle-point equations for most of such theories can be solved in a systematic way. A relation to…

High Energy Physics - Theory · Physics 2015-06-15 Takao Suyama

We continue our study of renormalization group (RG) flows on Wilson loop defects in ABJM theory, which we have initiated in arXiv:2211.16501. We generalize that analysis by including non-supersymmetric fixed points and RG trajectories. To…

High Energy Physics - Theory · Physics 2023-06-28 Luigi Castiglioni , Silvia Penati , Marcia Tenser , Diego Trancanelli

We present new formulas for one-loop ambitwistor-string correlators for gauge theories in any even dimension with arbitrary combinations of gauge bosons, fermions and scalars running in the loop. Our results are driven by new…

High Energy Physics - Theory · Physics 2020-09-15 Alex Edison , Song He , Oliver Schlotterer , Fei Teng

We use localization techniques to compute the expectation values of supersymmetric Wilson loops in Chern-Simons theories with matter. We find the path-integral reduces to a non-Gaussian matrix model. The Wilson loops we consider preserve a…

High Energy Physics - Theory · Physics 2010-12-21 Anton Kapustin , Brian Willett , Itamar Yaakov
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