Recently, the new phase of the two-flavor color superconductor was proposed in connection with the recent discussion on the equation of state of neutron stars [1]. In this talk, I will show the classification of the topological vortices in this phase. We found that the most stable vortices are what we call the “non-Abelian Alice strings” [2]. They are superfluid vortices carrying 1/3 quantized circulation and color magnetic fluxes. I will discuss in some details about their properties in comparison to the well-established CFL vortices in three-flavor symmetric setup, by putting some emphasis on their peculiarity: the non-Abelian generalization of the Alice property. I will also discuss the confinement of the vortices as well as how the vortices in the quark phase are connected to those in the hadronic phase [3].

References:
[1] Y. Fujimoto, K. Fukushima, W. Weise, Phys. Rev. D 101, 094009 (2020), arXiv:1908.09360 [hep-ph].
[2] Y. Fujimoto, M. Nitta, Phys. Rev. D 103, 054002 (2021), arXiv:2011.09947 [hep-ph]; JHEP 09 (2021) 192, arXiv:2103.15185 [hep-ph].
[3] Y. Fujimoto, M. Nitta, Phys. Rev. D 103, 114003 (2021), arXiv:2102.12928 [hep-ph].