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We find chiral non-Abelian semi-superfluid vortices in the color-flavor locked (CFL) phase of dense QCD as the minimum vortices carrying half color magnetic fluxes of those of non-Abelian semi-superfluid vortices (color magnetic flux tubes) and 1/6 quantized superfluid circulations of Abelian superfluid vortices. These vortices exhibit unique features: one is the so-called topological obstruction implying that unbroken symmetry generators in the bulk are not defined globally around the vortices, and the other is color non-singlet Aharonov-Bohm (AB) phases implying that quarks encircling these vortices can detect the colors of magnetic fluxes of them at infinite distances. They are confined by chiral domain walls in the presence of the mass and axial anomaly terms explicitly breaking axial and chiral symmetries while they are deconfined in the absence of those terms. In the confined phase, two chiral non-Abelian semi-superfluid vortices with chiralities opposite to each other are connected by a chiral domain wall, consisting a mesonic bound state exhibiting only color singlet AB phases so that the quarks cannot detect the color of magnetic flux of such a bound state at infinite distances, and the final state of the mesonic bound state is nothing but a non-Abelian semi-superfluid vortex. We also show that Abelian and non-Abelian axial vortices attached by chiral domain walls are all unstable to decay into a set of chiral non-Abelian vortices.
We find a novel confinement mechanism in the two-flavor dense quark matter proposed recently, that consists of the 2SC condensates and the $P$-wave diquark condensates of $d$-quarks. This quark matter exhibiting color superconductivity as well as sup
We investigate the non-Abelian Aharonov-Bohm (AB) effect for time-dependent gauge fields. We prove that the non-Abelian AB phase shift related to time-dependent gauge fields, in which the electric and magnetic fields are written in the adjoint repres
We explore vorton solutions in the Wittens $U(1) times U(1)$ model for cosmic strings and in a modified version $U(1) times SO(3)$ obtained by introducing a triplet of non-Abelian fields to condense inside the string. We restrict to the case in which
In this letter, we investigate the anomalous Hall effect in dense QCD matter. When the dual chiral density wave which is the spatially modulated chiral condensate appears in the medium, it gives rise to two Weyl points to the single-particle energy-s
Non-Abelian flux-tube (string) solutions carrying global currents are found in the bosonic sector of 4-dimensional N=2 super-symmetric gauge theories. The specific model considered here posseses U(2)local x SU(2)global symmetry, with two scalar doubl