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math.CT2026
An Equivalence of Categories between 3-Crossed Modules and Gray 4-Groups
Masaki Fukuda, Tommy Shu
In this paper, we investigate the relation between the category of 3-crossed modules and the category of Gray-type 4-groups. The notion of a 3-crossed module was first introduced b…
hep-th2026
3-Crossed Module Structure in the Five-Dimensional Topological Axion Electrodynamics
Masaki Fukuda, Tommy Shu, Ryo Yokokura
In this paper, we investigate the higher-group symmetry structure of a five-dimensional topological theory, which is described by a 3-crossed module. The model is obtained by a fiv…