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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_00003v2  (pdf)
Date accepted: 2023-08-11
Date submitted: 2023-04-01 18:48
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
  • Mathematical Physics
Approach: Theoretical


A simplicial framework for the gerbe-theoretic modelling of supercharged-loop dynamics in the presence of 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,\ expected to encode essential information on the quantised 2$d$ field theory.\ A physically relevant example is analysed in considerable detail.

Published as SciPost Phys. Proc. 14, 044 (2023)

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