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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 |
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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) |
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Academic field: | Physics |
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Approach: | Theoretical |
Abstract
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)