  Quark-hadron continuity was proposed as crossover between hadronic matter and
quark matter without a phase transition, based on the matching of the symmetry
and excitations in both phases. In the limit of a light strange-quark mass, it
connects hyperon matter and the color-flavor-locked (CFL) phase exhibiting
color superconductivity. Recently, it was proposed that this conjecture could
be generalized in the presence of superfluid vortices penetrating both phases
(arXiv:1803.05115 [hep-ph]), and it was suggested that one hadronic superfluid
vortex in hyperon matter could be connected to one non-Abelian vortex (color
magnetic flux tube) in the CFL phase. Here, we argue that their proposal is
consistent only at large distances; instead, we show that three hadronic
superfluid vortices must combine with three non-Abelian vortices with different
colors with the total color magnetic fluxes canceled out, where the junction is
called a colorful boojum. We rigorously prove this in both a macroscopic theory
based on the Ginzburg-Landau description in which symmetry and excitations
match (including vortex cores), and a microscopic theory in which the
Aharonov-Bohm phases of quarks around vortices match.
