Towards higher super-$\sigma$-model categories
High Energy Physics - Theory
2023-11-06 v1 Mathematical Physics
math.MP
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 field theory. A physically relevant example is analysed in considerable detail.
Keywords
Cite
@article{arxiv.2311.01768,
title = {Towards higher super-$\sigma$-model categories},
author = {Rafał R. Suszek},
journal= {arXiv preprint arXiv:2311.01768},
year = {2023}
}
Comments
10 pages, to appear in the Proceedings of the 34th International Colloquium on Group Theoretical Methods in Physics, July 18-22 2022, Strasbourg