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… 
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16 Citations
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Methods Citations
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Results Citations
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16 Citations

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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…
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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…
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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…
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References

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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.
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