BPS Magnetic Monopole Bags

Abstract

We explore the characteristics of spherical bags made of large numbers of BPS magnetic monopoles. There are two extreme limits. In the Abelian bag, $N$ zeros of the Higgs field are arranged in a quasiregular lattice on a sphere of radius $R_{\mathrm{cr}}\sim N/v$, where $v$ is the Higgs vacuum expectation value. The massive gauge fields of the theory are largely confined to a thin shell at this radius that separates an interior with almost vanishing magnetic and Higgs fields from an exterior region with long-range Coulomb magnetic and Higgs fields. In the other limiting case, which we term a non-Abelian bag, the $N$ zeros of the Higgs field are all the origin, but there is again a thin shell of radius $R_{\mathrm{cr}}$. In this case the region enclosed by this shell can be viewed as a large monopole core, with small Higgs field but nontrivial massive and massless gauge fields.

19 pages, 1 figure

References in corpus (12)

• Rational Maps, Monopoles and Skyrmions
• Symetric Monopoles
• Tetrahedral and Cubic Monopoles
• Static Black Hole Solutions without Rotational Symmetry
• Octahedral and Dodecahedral Monopoles
• Monopole Vector Spherical Harmonics
• Multi-monopoles and Magnetic Bags
• Monopole Scattering with a Twist
• A Monopole Wall
• Monopole Zeros
• Periodic Monopoles
• Sheets of BPS Monopoles and Instantons with Arbitrary Simple Gauge Group

Cited by in corpus (15)

• Moduli of Monopole Walls and Amoebas
• Monopoles in AdS
• Monopole Planets and Galaxies
• BPS Soliton Solutions of a D3-brane Action
• Magnetic Bags and Black Holes
• Q-Monopole-Ball: A Topological and Nontopological Soliton
• The large N limit of the Nahm transform
• Hyperbolic vortices with large magnetic flux
• Dynamics of monopole walls
• Magnetic bags in hyperbolic space
• Magnetic Domains
• Magnetic bag like solutions to the SU(2) monopole equations on R^3
• Holographic Coulomb Branch Solitons, Quasinormal Modes, and Black Holes
• High Q BPS Monopole Bags are Urchins
• Gauge Theories on the Coulomb branch