Monopoles in AdS
Apr, 201121 pages
Published in:
- JHEP 08 (2011) 032
e-Print:
- 1104.1888 [hep-th]
Report number:
- DCPT-11-13
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Abstract: (arXiv)
Applications to holographic theories have led to some recent interest in magnetic monopoles in four-dimensional Anti-de Sitter spacetime. This paper is concerned with a study of these monopoles, using both analytic and numerical methods. An approximation is introduced in which the fields of a charge N monopole are explicitly given in terms of a degree N rational map. Within this approximation, it is shown that the minimal energy monopole of charge N has the same symmetry as the minimal energy Skyrmion with baryon number N in Minkowski spacetime. Beyond charge two the minimal energy monopole has only a discrete symmetry, which is often Platonic. The rational map approximation provides an upper bound on the monopole energy and may be viewed as a smooth non-abelian refinement of the magnetic bag approximation, to which it reverts under some additional approximations. The analytic results are supported by numerical solutions obtained from simulations of the non-abelian field theory. A similar analysis is performed on the monopole wall that emerges in the large N limit, to reveal a hexagonal lattice as the minimal energy architecture.- Solitons Monopoles and Instantons
- AdS-CFT Correspondence
- magnetic monopole
- Skyrmion
- space-time: anti-de Sitter
- symmetry: discrete
- baryon number
- expansion 1/N
- holography
- monopole: BPS
References(20)
Figures(6)