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Hyperbolic monopoles and holomorphic spheres

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arxiv math/0111202 v1 pith:EQZY45EH submitted 2001-11-19 math.DG math.AG

Michael K. Murray , Paul Norbury , Michael A. Singer This is my paper · ORCID
classification math.DGmath.AG
keywords holomorphichyperbolicmonopoleassociateembeddedfeaturesmonopolesprojective
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We associate to an SU(2) hyperbolic monopole a holomorphic sphere embedded in projective space and use this to uncover various features of the monopole.

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  1. Quark confinement consistent with holography due to hyperbolic magnetic monopoles and hyperbolic vortices unifiedly reduced from symmetric instantons

    hep-th 2025-07 conditional novelty 2.0 of 10

    A review showing that symmetric instantons reduce to hyperbolic monopoles and vortices whose dilute gas yields an area law for the Wilson loop, giving a semi-classical, holographic picture of quark confinement.

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