A curious correspondence has been known between Landau models and non-linear sigma models: Reinterpreting the base-manifolds of Landau models as field manifolds, the Landau models are transformed to non-linear sigma models with same global and local symmetries. With the idea of the dimensional hierarchy of higher dimensional Landau models, we exploit this correspondence to present a systematic procedure for construction of non-linear sigma models in higher dimensions. We explicitly derive $O(2k+1)$ non-linear sigma models in 2k dimension based on the parent tensor gauge theories that originate from non-Abelian monopoles. The obtained non-linear sigma models turn out to be Skyrme-type non-linear sigma models with $O(2k)$ local symmetry. Through a dimensional reduction of Chern-Simons tensor field theories, we also derive Skyrme-type $O(2k)$ non-linear sigma models in $2k-1$ dimension. As a unified description, we explore Skyrme-type generic $O(d+1)$ non-linear sigma models and clarify their basic properties, such as stability of soliton configurations, scale invariant solutions, and field configurations of higher winding number.

已知Landau模型与非线性sigma模型之间存在奇怪的对应关系：将Landau模型的基本流形重新解释为场流形，将Landau模型转换为具有相同全局和局部对称性的非线性sigma模型。借助高维Landau模型的维层次结构的思想，我们利用这种对应关系提出了构建高维非线性sigma模型的系统程序。我们明确得出$Ø（2ķ+\mathrm{1个}）$基于源自非阿贝尔单极子的父级张量规理论的2 k维非线性sigma模型。所得的非线性sigma模型证明是Skyrme型非线性sigma模型，其中$Ø（2ķ）$局部对称。通过对Chern-Simons张量场理论进行降维，我们还导出了Skyrme型$Ø（2ķ）$ 非线性sigma模型 $2ķ-\mathrm{1个}$尺寸。作为统一的描述，我们探索Skyrme型通用$Ø（d+\mathrm{1个}）$ 非线性sigma模型，并阐明它们的基本属性，例如孤子配置的稳定性，尺度不变解以及更高绕组数的场配置。