Monopoles in AdS
Monopoles in AdS
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AdS 中的单极子
DOI：
10.1007/jhep08(2011)032
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发表时间：
2011
影响因子：
5.4
通讯作者：
P. Sutcliffe
中科院分区：
文献类型：
--
作者：
P. Sutcliffe
全息理论的应用导致了最近对四维反德西特时空中磁单极子的兴趣。本文采用解析和数值方法对这些单极子进行了研究。引入了一种近似，其中电荷N的场被显式地给出了一个度N的有理映射。在这种近似下，我们证明了在闵可夫斯基时空中，电荷N的最小能量π与重子数为N的最小能量Skyrmion具有相同的对称性。在电荷2之外，最小能量的π只有离散的对称性，这通常是柏拉图式的。有理映射近似提供了一个能量上限，可以看作是磁袋近似的一个光滑的非阿贝尔近似，它在一些额外的近似下恢复。从非阿贝尔场论的模拟得到的数值解的分析结果的支持。对出现在大N极限中的壁进行类似的分析，以揭示六边形晶格作为最小能量结构。
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.