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Towards higher super-$\sigma$-model categories

by Rafał R. Suszek

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Submission summary

Authors (as registered SciPost users): Rafał R. Suszek
Submission information
Preprint Link: scipost_202301_00003v1  (pdf)
Date submitted: 2023-01-03 10:37
Submitted by: Suszek, Rafał R.
Submitted to: SciPost Physics Proceedings
Proceedings issue: 34th International Colloquium on Group Theoretical Methods in Physics (GROUP2022)
Ontological classification
Academic field: Physics
Specialties:
  • Mathematical Physics
Approach: Theoretical

Abstract

A simplicial framework for the gerbe-theoretic modelling of supercharged-loop dynamics in the presence of arbitrary worldsheet defects is discussed whose equivariantisation with respect to global supersymmetries of the bulk theory and subsequent orbit decomposition lead to a natural stratification of and cohomological superselection rules for target-space supergeometry. Physically relevant examples are provided.

Current status:
Has been resubmitted

Reports on this Submission

Anonymous Report 1 on 2023-2-13 (Invited Report)

Strengths

It seems a very interesting work, with deep connections and highly developed mathematics. It appears to be a rather profound and structured analysis of the subject.

Weaknesses

As it stands it is unreadable. Even for an expert, it is heavily based on previous works of the author (who wrote very long and detailed works) and he does not make any effort to render the paper accessible to a broader public and even to those experts who are not familiar with his own work.

Report

In my opinion, the paper should be re-written in such a way to be accessible to a broader audience and maybe augmented of specific and explicit examples.

  • validity: ok
  • significance: ok
  • originality: high
  • clarity: poor
  • formatting: mediocre
  • grammar: acceptable

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