# Framing and localization in Chern-Simons theories with matter

@article{Bianchi2016FramingAL, title={Framing and localization in Chern-Simons theories with matter}, author={Marco S. Bianchi and Luca Griguolo and Mat́ıas Leoni and Andrea Mauri and Silvia Penati and Domenico Seminara}, journal={Journal of High Energy Physics}, year={2016}, volume={2016}, pages={1-21} }

A bstractSupersymmetric 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. We investigate this problem by studying the expectation value of the 1/6 BPS Wilson loop in planar ABJ(M) theory at three loops in perturbation theory. We reproduce the corresponding term in the localization result and argue that it originates…

## 16 Citations

Superconformal Line Defects in 3D

- PhysicsUniverse
- 2021

We review the recent progress in the study of line defects in three-dimensional Chern–Simons-matter superconformal field theories, notably the ABJM theory. The first part is focused on kinematical…

A note on multiply wound BPS Wilson loops in ABJM

- Physics
- 2016

A bstractWe consider BPS Wilson loops in planar ABJM theory, wound multiple times around the great circle. We compute the expectation value of the 1/6-BPS and 1/2-BPS Wilson loops to three- and…

String theory duals of Wilson loops from Higgsing

- Physics, Mathematics
- 2017

A bstractFor three-dimensional ABJ(M) theories and N=4$$ \mathcal{N}=4 $$ Chern-Simons-matter quiver theories, we construct two sets of 1/2 BPS Wilson loop operators by applying the Higgsing…

New BPS Wilson loops in N = 4 circular quiver Chern – Simons – matter theories

- Physics
- 2018

We construct new families of 1/4 BPS Wilson loops in circular quiver N = 4 superconformal Chern–Simons–matter (SCSM) theories in three dimensions. They are defined as the holonomy of superconnections…

A matrix model for the latitude Wilson loop in ABJM theory

- PhysicsJournal of High Energy Physics
- 2018

A bstractIn ABJ(M) theory, we propose a matrix model for the exact evaluation of BPS Wilson loops on a latitude circular contour, so providing a new weak-strong interpolation tool. Intriguingly, the…

ABJM θ-Bremsstrahlung at four loops and beyond: non-planar corrections

- Physics
- 2017

A bstractWe 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…

Towards the exact Bremsstrahlung function of ABJM theory

- Physics
- 2017

A bstractWe 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 quantum 1/2 BPS Wilson loop in N=4$$ \mathcal{N}=4 $$ Chern-Simons-matter theories

- Physics
- 2016

A bstractIn three dimensional N=4$$ \mathcal{N}=4 $$ Chern-Simons-matter theories two independent fermionic Wilson loop operators can be defined, which preserve half of the supersymmetry charges and…

BPS Wilson loops in N$$ \mathcal{N} $$ ≥ 2 superconformal Chern-Simons-matter theories

- MathematicsJournal of High Energy Physics
- 2018

A bstractIn N$$ \mathcal{N} $$ ≥ 2 superconformal Chern-Simons-matter theories we construct the infinite family of Bogomol’nyi-Prasad-Sommerfield (BPS) Wilson loops featured by constant parametric…

New BPS Wilson loops in N=4$$ \mathcal{N}=4 $$ circular quiver Chern-Simons-matter theories

- Mathematics
- 2017

A bstractWe construct new families of 1/4 BPS Wilson loops in circular quiver N=4$$ \mathcal{N}=4 $$ superconformal Chern-Simons-matter (SCSM) theories in three dimensions. They are defined as the…

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