  Going beyond the conventional theory, non-Abelian band topology uncovers the
global quantum geometry of Bloch bands with multiple gaps and thus unveil a new
paradigm for topological physics. However, to date, all non-Abelian topological
materials are restricted to systems with time-reversal symmetry (T). Here,
starting from a Kagome lattice inspired by Haldane model and designer
gyromagnetic photonic crystals (PhCs), we show that T breaking can lead to rich
non-Abelian topological physics, particularly the emergence of multigap
antichiral edge states. Simply changing the magnetic flux of the Kagome
lattice, or in-situ tuning the local magnetic field of the gyromagnetic PhCs,
can lead to the unconventional creation, braiding, merging, and splitting of
non-Abelian charged band nodes, alongside with the direct manipulation of the
multigap antichiral edge states. Particularly, the quadratic point can be split
into four Dirac points, a phenomenon unique in T-broken systems. Our
theoretical and experimental findings will inspire a new direction in the study
of non-Abelian physics in T-broken systems and open an unprecedent pathway for
topological manipulation of electromagnetic waves.
