Topological aspects in particle physics, cosmology, condensed matter physics, and mathematical physics

找出各种现象背后的对称性可以让我们对自然有更深的理解。在我的研究中，除了对称性外，我还关注拓扑孤子。这使我们能够以交叉的方式研究粒子物理、宇宙学、核物理和凝聚态物理之间的各种现象。我特别感兴趣的是涡旋弦和域壁。通过对它们的普遍理解，我成功地阐明了超对称规范理论和稠密量子光盘中孤子的许多性质。此外，还发现了膜世界情景的动力学构造机制，提出了磁体极强磁场的可能解释，并在多种玻色-爱因斯坦凝聚中发现了新的有趣的多涡旋分子。这些现象似乎毫无关联。然而，我的研究表明，它们确实是密切相关的，我们可以获得普遍的理解。

Figuring out symmetries behind various phenomena leads us to deeper understandings of the nature. In my research I focused on topological solitons in addition to symmetries. This allows us to study various phenomena among particle physics, cosmology, nuclear physics, and condensed matter physics in cross-cutting ways. In particular, my interest was put on vortex strings and domain walls. With universal understandings on them, I successfully clarified many properties of the solitons in supersymmetric gauge theories and in dense QCD. Furthermore, a nice mechanism for dynamical construction of the brane-world scenario was found, a possible explanation of extremely strong magnetic field of magnetors was proposed, and new interesting multi-vortex molecules were found in multiple Bose-Einstein condensates. These phenomena seem to be unrelated at all. However, my research shows that they are indeed closely related and we may acquire universal understanding of them.