论文标题
较高电荷及其较大时期限制的对称卡洛隆
Symmetric calorons of higher charges and their large period limits
论文作者
论文摘要
周期性的Instantons（也称为Calorons）是$ \ Mathbb {r}^3 \ times s^1 $的纯Yang-Mills理论的BPS解决方案。众所周知，Calorons与Instantons和BPS单极的互连是其大小与$ S^1 $的周期的比率各不相同。在本文中，我们在构建分析NAHM数据后，在本文中给出了通过数值NAHM变换的几个柏拉图对称性的$ SU（2）$ SU（2）$ CALORONS的动作密度配置。考虑到八面体对称性的5卡罗隆，具有二十面体对称性的7-Caloron，以及4-Caloron互连的四面体和八面体对称性。我们还考虑了NAHM数据（即ADHM限制）的较大时期或Instanton限制，并观察到与Calorons的作用密度的相似空间分布。
Periodic instantons, also called calorons, are the BPS solutions to the pure Yang-Mills theories on $\mathbb{R}^3\times S^1$. It is known that the calorons interconnect with the instantons and the BPS monopoles as the ratio of their size to the period of $S^1$ varies. We give, in this paper, the action density configurations of the $SU(2)$ calorons of higher instanton charges with several platonic symmetries through the numerical Nahm transform, after the construction of the analytic Nahm data. The calorons considered are 5-caloron with octahedral symmetry, 7-caloron with icosahedral symmetry, and 4-caloron interconnecting tetrahedral and octahedral symmetries. We also consider the large period, or the instanton, limits of the Nahm data, i.e., the ADHM limits, and observe the similar spatial distributions of the action densities with the calorons.
