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't Hooft lines of ADE-type and Topological Quivers

by Youssra Boujakhrout, El Hassan Saidi, Rachid Ahl Laamara, Lalla Btissam Drissi

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Authors (as registered SciPost users): Youssra Boujakhrout
Submission information
Preprint Link: scipost_202212_00073v1  (pdf)
Date submitted: 2022-12-30 15:01
Submitted by: Boujakhrout, Youssra
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
  • Mathematical Physics
Approach: Theoretical


We investigate 4D Chern-Simons theory with ADE gauge symmetries in the presence of interacting Wilson and 't Hooft line defects. We analyse the intrinsic properties of these lines' coupling and explicate the building of oscillator-type Lax matrices verifying the RLL integrability equation. We propose gauge quiver diagrams Q$_{G}^{\mu }$ encoding the topological data carried by the Lax operators and give several examples where Darboux coordinates are interpreted in terms of topological bi-fundamental matter. We exploit this graphical description (i) to give new results regarding solutions in representations beyond the fundamentals of $sl_{N}$, $so_{2N}$ and $e_{6,7}$, and (ii) to classify the Lax operators for simply laced symmetries in a unified E$_{7}$ CS theory. For quick access, a summary list of the leading topological quivers Q$_{ADE}^{\mu }$ is given in the conclusion section [Figures 29.(a-e), 30.(a-d) and 31.(a-d)].

Current status:
Has been resubmitted

Reports on this Submission

Anonymous Report 2 on 2023-3-20 (Invited Report)


My remarks and suggested changes can be found in the attached pdf.


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Anonymous Report 1 on 2023-2-8 (Invited Report)


Please see attached pdf.


  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Author:  Youssra Boujakhrout  on 2023-03-03  [id 3431]

(in reply to Report 1 on 2023-02-08)
answer to question

Please see the attached file for answers to the questions report 1.



Anonymous on 2023-03-06  [id 3442]

(in reply to Youssra Boujakhrout on 2023-03-03 [id 3431])

I'm happy to say that from the reply it seems my questions have been addressed, though I don't seem to be able to see the updated draft. Has it been uploaded?

Anonymous on 2023-03-19  [id 3496]

(in reply to Anonymous Comment on 2023-03-06 [id 3442])

Thank you. The submission page says I can only update the response to the report; and should not upload the revised version of the paper.

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