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Hopf defects as seeds for monopole loops

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abstract

We investigate the relation between instantons and monopoles in the Laplacian Abelian Gauge using analytical methods in the continuum. Our starting point is the fact that the 't Hooft instanton with its high symmetry leads to a pointlike defect with Hopf invariant one. In order to generalise this result we partly break the symmetry by a local perturbation. We find that for generic configurations near the 't Hooft instanton the defects become loops. The analytical results show explicitly that these defects are magnetic monopoles with unit charge. In addition, the monopoles are twisted to account for the instanton number of the background.

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hep-th 1

years

2025 1

verdicts

UNVERDICTED 1

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Dyon Loops and Abelian Instantons

hep-th · 2025-06-17 · unverdicted · novelty 7.0

Abelian instantons generated by dyon loops carry full instanton charge in the Georgi-Glashow model and form a continuous deformation of small BPST instantons.

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  • Dyon Loops and Abelian Instantons hep-th · 2025-06-17 · unverdicted · none · ref 16 · internal anchor

    Abelian instantons generated by dyon loops carry full instanton charge in the Georgi-Glashow model and form a continuous deformation of small BPST instantons.