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… 
Superconformal Line Defects in 3D
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
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
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
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
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
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
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
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
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
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
...
1
2
...

References

SHOWING 1-10 OF 63 REFERENCES
The 1/2 BPS Wilson loop in ABJ(M) at two loops: the details
A bstractWe compute the expectation value of the 1/2 BPS circular Wilson loop operator in ABJ(M) theory at two loops in perturbation theory. Our result turns out to be in exact agreement with the
Perturbative evaluation of circular 1/2 BPS Wilson loops in $ \mathcal{N}=6 $ super Chern-Simons theories
A bstractWe present a complete two-loop analysis of the quantum expectation value for circular BPS Wilson loops in ABJ(M) theories. We examine in details the 1/2 BPS case, that requires non-trivial
Lectures on localization and matrix models in supersymmetric Chern–Simons-matter theories
In these lectures, I give a pedagogical presentation of some of the recent progress in supersymmetric Chern–Simons-matter theories, coming from the use of localization and matrix model techniques.
Exact results for Wilson loops in superconformal Chern-Simons theories with matter
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.
Lectures on localization and matrix models in supersymmetric Chern{Simons{matter theories
In these lectures I give a pedagogical presentation of some of the recent progress in supersymmetric Chern{Simons{matter theories, coming from the use of localization and matrix model techniques. The
Exact results in ABJM theory from topological strings
Recently, Kapustin, Willett and Yaakov have found, by using localization techniques, that vacuum expectation values of Wilson loops in ABJM theory can be calculated with a matrix model. We show that
BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
A bstractWe study a family of circular BPS Wilson loops in $ \mathcal{N} $ = 6 super Chern-Simons-matter theories, generalizing the usual 1/2-BPS circle. The scalar and fermionic couplings depend on
Two-loop analysis of non-Abelian Chern-Simons theory.
  • Chen, Semenoff, Wu
  • Physics
    Physical review. D, Particles and fields
  • 1992
TLDR
It is shown that in the non-Abelian case the Chern-Simons gauge field as well as the matter fields require infinite renormalization at two loops and therefore obtain nontrivial anomalous dimensions.
...
1
2
3
4
5
...