Going beyond the conventional theory, non-Abelian band topology reveals the global quantum geometry of multiple Bloch bands and unveils a new paradigm for topological physics. However, to date, experimental studies on non-Abelian topological states beyond one dimension are still restricted to systems with time-reversal (\({{\mathcal{T}}}\)) symmetry. Here, exploiting a designer gyromagnetic photonic crystal, we find rich \({{\mathcal{T}}}\)-broken non-Abelian topological phases and their transitions with an unexpected connection to multigap antichiral edge states. By in-situ tuning the magnetic field in the gyromagnetic photonic crystal, we can create, braid, merge, and split the non-Abelian topological nodes in a unique way. Alongside this process, the multigap antichiral edge states can be tuned versatilely, giving rise to topological edge waveguiding with frequency-dependent directionality. These findings open a new avenue for non-Abelian topological physics and topological photonics.

非阿贝尔带拓扑结构超越了传统理论，揭示了多个布洛赫带的全局量子几何结构，并揭示了拓扑物理学的新范式。然而，迄今为止，对一维以外的非阿贝尔拓扑状态的实验研究仍然局限于具有时间反转 （\（{{\mathcal{T}}}\）） 对称性的系统。在这里，利用一种设计性的旋磁光子晶体，我们发现了丰富的 \（{{\mathcal{T}}}\） 断裂的非阿贝尔拓扑相及其跃迁，与多间隙反手性边缘态有着意想不到的联系。通过原位调谐旋磁光子晶体中的磁场，我们可以以独特的方式创建、编织、合并和分裂非阿贝尔拓扑节点。除了这个过程，多间隙反手性边缘态可以进行多功能调整，从而产生具有频率依赖性方向性的拓扑边缘波导。这些发现为非阿贝尔拓扑物理学和拓扑光子学开辟了一条新途径。