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.
Hyperbolic monopoles with continuous symmetries
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abstract
We provide a framework to classify hyperbolic monopoles with continuous symmetries and find a Structure Theorem, greatly simplifying the construction of all those with spherically symmetry. In doing so, we reduce the problem of finding spherically symmetric hyperbolic monopoles to a problem in representation theory. Additionally, we determine constraints on the structure groups of such monopoles. Using these results, we construct novel spherically symmetric $\mathrm{Sp}(n)$ hyperbolic monopoles.
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Quark confinement consistent with holography due to hyperbolic magnetic monopoles and hyperbolic vortices unifiedly reduced from symmetric instantons
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.