Magnetic Bags and Black Holes

Abstract

We discuss gravitational magnetic bags, i.e. clusters of large number of monopoles in presence of gravitational effects. Physics depends on the dimensionless ratio between the vev of the Higgs field at infinity and the Planck mass. We solve the equations for the gravitational bags, and study the transition from monopole to black hole. The critical coupling for this transition is $v_{cr}=\sqrt{\pi }/(4\sqrt{G})$, and it is larger than that of a single 't Hooft-Polyakov monopole. We investigate in detail the black-hole limit.

20 pages, 12 figures; v2 small changes

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• The large N limit of the Nahm transform
• Dwarf Galaxy Sized Monopoles as Dark Matter?
• Holographic Entanglement Entropy of the Coulomb Branch
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• AdS Monopole Black Hole and Phase Transition
• Gauge Theories on the Coulomb branch