A hypersphere-like non-Abelian Yang monopole and its topological characterization

• URL: http://arxiv.org/abs/2510.00941v2
• Date: Thu, 02 Oct 2025 09:05:33 GMT
• Title: A hypersphere-like non-Abelian Yang monopole and its topological characterization
• Authors: Shou-Bang Yang, Pei-Rong Han, Wen Ning, Fan Wu, Zhen-Biao Yang, Shi-Biao Zheng,
• Abstract summary: We find a hypersphere-like non-Abelian Yang monopole in a five-dimensional parameter space, formed by EP2 pairs.<n>Such an exotic structure enables the NH Yang monopole to exhibit a unique topological transition, which is inaccessible with the point-like counterpart.
• Score: 2.6758864887806424
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Synthetic monopoles, which correspond to degeneracies of Hamiltonians, play a central role in understanding exotic topological phenomena. Dissipation-induced non-Herminicity (NH), extending the eigenspectra of Hamiltonians from the real to complex domain, largely enriches the topological physics associated with synthetic monopoles. We here investigate exceptional points (EPs) in a four-dimensional NH system, finding a hypersphere-like non-Abelian Yang monopole in a five-dimensional parameter space, formed by EP2 pairs. Such an exotic structure enables the NH Yang monopole to exhibit a unique topological transition, which is inaccessible with the point-like counterpart. We characterize such a topological phenomenon with the second Chern number.

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