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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 | |
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| 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 | |
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| Academic field: | Physics |
| Specialties: |
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| 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.
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Reports on this Submission
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.