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

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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.