4 papers
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…
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…
3-Crossed modules, Quasi-categories, and the Moore complex
Masaki Fukuda, Tommy Shu
The established equivalence between 2-crossed modules and Gray 3-groups [M. Sarikaya and E. Ulualan, 2024] serves as a benchmark for higher-dimensional algebraic models. However, t…
Black -Branes in Heterotic String Theory
Masaki Fukuda, Shun K. Kobayashi, Kento Watanabe +1
Heterotic string theory has nonsupersymmetric branes whose existence is suggested by the cobordism conjecture. We numerically construct static, spherically symmetric, and asymptoti…