Preprint number: XXXX-XXXX Vortices and Other Topological Solitons in Dense Quark Matter Minoru Eto1, Yuji Hirono2;3;4, Muneto Nitta5y, and Shigehiro Yasui6 z 1Department of Physics, Yamagata University, Kojirakawa 1-4-12, Yamagata, Yamagata 990-8560, Japan 2Department of Physics, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan 3Theoretical Research Division, Nishina Center, RIKEN, Wako 351-0198, Japan 4Department of Physics, Sophia University, Tokyo 102-8554, Japan 5Department of Physics, and Research and Education Center for Natural Sciences, Keio University, Hiyoshi 4-1-1, Yokohama, Kanagawa 223-8521, Japan 6KEK Theory Center, Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), 1-1 Oho, Tsukuba, Ibaraki 305-0801, Japan ∗E-mail:
[email protected] ............................................................................... Dense quantum chromodynamic matter accommodates various kind of topological solitons such as vortices, domain walls, monopoles, kinks, boojums and so on. In this review, we discuss various properties of topological solitons in dense quantum chro- modynamics (QCD) and their phenomenological implications. A particular emphasis is placed on the topological solitons in the color-flavor-locked (CFL) phase, which exhibits both superfluidity and superconductivity. The properties of topological solitons are dis- cussed in terms of effective field theories such as the Ginzburg-Landau theory, the chiral Lagrangian, or the Bogoliubov{de Gennes equation. The most fundamental string-like topological excitations in the CFL phase are the non-Abelian vortices, which are 1/3 quantized superfluid vortices and color magnetic flux tubes. These vortices are created at a phase transition by the Kibble-Zurek mechanism or when the CFL phase is realized in compact stars, which rotate rapidly.