Year: 2026
Type: preprint
Abstract: For Euclidean BPS monopoles with gauge group $SU(N)$, maximal symmetry breaking, and sufficiently generic spectral data, we produce necessary congruence relations that their magnetic charges must satisfy when $N \geq 3$. As such, a monopole as above with given charges can have certain subgroups of $SO(3)$ ruled out as possible groups of symmetries. In particular, the axially symmetric case may only admit non-trivial magnetic charges in the non-generic setting.
Source: arXiv (Cornell University)
Author: Cusson, Paul
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223012044