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Non-Abelian vortices are topologically stable objects in the color-flavorlocked (CFL) phase of dense QCD. We derive a dual Lagrangian starting with theGinzburg-Landau effective Lagrangian for the CFL phase, and obtain topologicalinteractions of non-Abelian vortices with quasiparticles such as $U(1)_B$Nambu-Goldstone bosons (phonons) and massive gluons. We find that the phononscouple to the translational zero modes of the vortices while the gluons coupleto their orientational zero modes in the internal space.

Topological Interactions of Non-Abelian Vortices with Quasi-Particles in High Density QCD