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We introduce a new purely bosonic, $\frac{1}{6}$ BPS Wilson loop for ABJM theory on $S^3$ that couples scalar fields to a latitude at an angle $\theta$ on $S^2\in\mathbb{C}P^3$. Through localization of this operator, we relate the expansion…

高能物理 - 理论 · 物理学 2013-12-12 Daniele Marmiroli

For $SU(N)$ superconformal QCD we perform a three-loop calculation of the generalized cusp anomalous dimension of the BPS Wilson loop operator using HQET formalism. We obtain an expression which is valid at generic geometric and internal…

高能物理 - 理论 · 物理学 2019-05-01 Carolina Gomez , Andrea Mauri , Silvia Penati

We find an exact analytical solution of the Y-system describing a cusped Wilson line in the planar limit of N=4 SYM. Our explicit solution describes anomalous dimensions of this family of observables for any value of the `t Hooft coupling…

高能物理 - 理论 · 物理学 2015-12-15 Nikolay Gromov , Fedor Levkovich-Maslyuk , Grigory Sizov

We compute the exact vacuum expectation value of 1/2 BPS circular Wilson loops of ${\cal N}$=4 U(N) super Yang-Mills in arbitrary irreducible representations. By localization arguments, the computation reduces to evaluating certain…

高能物理 - 理论 · 物理学 2015-06-17 Bartomeu Fiol , Genis Torrents

We consider the Bremsstrahlung function associated to a 1/6-BPS Wilson loop in ABJM theory, with a cusp in the couplings to scalar fields. We non-trivially extend its recent four-loop computation at weak coupling to include non-planar…

高能物理 - 理论 · 物理学 2018-01-17 Marco S. Bianchi , Andrea Mauri

We study planar ABJM in a limit where one coupling is negligible compared to the other. We provide a recipe for exactly solving the expectation value of bosonic BPS Wilson loops on arbitrary smooth contours, or the leading divergence for…

高能物理 - 理论 · 物理学 2016-08-31 Marco S. Bianchi , Matias Leoni

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…

高能物理 - 理论 · 物理学 2020-07-15 Simone Giombi , Shota Komatsu

We derive an exact formula for the cusp anomalous dimension at small angles. This is done by relating the latter to the computation of certain 1/8 BPS Wilson loops which was performed by supersymmetric localization. This function of the…

高能物理 - 理论 · 物理学 2015-06-04 Diego Correa , Johannes Henn , Juan Maldacena , Amit Sever

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 present the three-loop calculation of the Bremsstrahlung function associated to the 1/2-BPS cusp in ABJM theory, including color subleading corrections. Using the BPS condition we reduce the computation to that of a cusp with vanishing…

高能物理 - 理论 · 物理学 2017-09-13 Marco S. Bianchi , Luca Griguolo , Andrea Mauri , Silvia Penati , Michelangelo Preti , Domenico Seminara

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

In ABJ(M) theory a generalized cusp can be constructed out of the 1/6 BPS Wilson line by introducing an angle $\varphi$ in the spacial contour and/or an angle $\theta$ in the internal R-symmetry space. The small angles limits of its…

高能物理 - 理论 · 物理学 2018-01-17 Marco S. Bianchi , Andrea Mauri

Supersymmetric localization provides exact results that should match QFT computations in some regularization scheme. The agreement is particularly subtle in three dimensions where complex answers from localization procedure sometimes arise.…

高能物理 - 理论 · 物理学 2016-07-20 Marco S. Bianchi , Luca Griguolo , Matias Leoni , Andrea Mauri , Silvia Penati , Domenico Seminara

We consider the quark anti-quark potential on the three sphere in planar N=4 SYM and the associated vacuum potential in the near BPS limit with L units of R-charge. The associated Bremsstrahlung function B_L has been recently computed…

高能物理 - 理论 · 物理学 2013-05-29 Matteo Beccaria , Guido Macorini

We use supersymmetric localization to study probes of four dimensional Lagrangian N=2 superconformal field theories. We first derive a unique equation for the eigenvalue density of these theories. We observe that these theories have a…

高能物理 - 理论 · 物理学 2016-03-23 Bartomeu Fiol , Blai Garolera , Genis Torrents

In ABJM theory, enriched RG flows between circular 1/6 BPS bosonic and 1/2 BPS fermionic Wilson loops have been introduced in arXiv:2211.16501. These flows are triggered by deformations corresponding to parametric 1/6 BPS fermionic loops.…

高能物理 - 理论 · 物理学 2024-09-04 Luigi Castiglioni , Silvia Penati , Marcia Tenser , Diego Trancanelli

We consider the expectation value $\langle \cal W \rangle$ of the circular BPS Wilson loop in ${\cal N}=2$ superconformal $SU(N)$ gauge theory containing a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and…

高能物理 - 理论 · 物理学 2022-07-28 Matteo Beccaria , Gerald V. Dunne , Arkady A. Tseytlin

We find 1/6 BPS string configurations in AdS_4 x CP^3, which we identify as the duals of certain 1/6 BPS circular Wilson loops in N=6 super Chern-Simons-matter gauge theory. We use our results to verify -in the strong coupling limit- a…

高能物理 - 理论 · 物理学 2015-06-19 Jeremias Aguilera-Damia , Diego H. Correa , Guillermo A. Silva

As was shown in arXiv:2303.15207, the leading large $N$, fixed $k$ correction in the localization result for the expectation value of the $\frac{1}{2}$-BPS circular Wilson loop in $U(N)_{k}\times U(N)_{-k}$ ABJM theory given by the…

高能物理 - 理论 · 物理学 2025-01-22 Matteo Beccaria , Arkady A. Tseytlin

Correlation functions of Wilson lines are relevant for describing the infrared structure of scattering amplitudes. We develop a new method for evaluating a wide class of such Wilson line integrals, and apply it to the calculation of the…

高能物理 - 理论 · 物理学 2015-06-15 Johannes M. Henn , Tobias Huber
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