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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…

高能物理 - 理论 · 物理学 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…

高能物理 - 格点 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 2010-12-21 Anton Kapustin , Brian Willett , Itamar Yaakov