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  1. Topological Defect

    Linked via "Bogomol'nyi–Prasad–Sommerfield (BPS)"

    Magnetic Monopoles ($\pi_2$)
    Magnetic monopoles are point-like topological defect's arising from the breaking of a compact symmetry group, most famously $SU(2)$, down to $U(1)$ (electromagnetism), as described by the Bogomol'nyi–Prasad–Sommerfield (BPS) limit of Grand Unified Theories.
    The essential topological requirement is that the fields on a sphere surrounding the monopole mu…