Baryons as vortexes on the η′ domain wall

Abstract We show that the recent construction of N f = 1 baryons on the η′ domain wall can be understood as vortexes of the principal effective theory — the Chern-Simons-Higgs theory — on a 2+1-dimensional sheet. This theory has a series of vortex solutions, and the vortex with unit topological charge naturally spins N c /2, which coincides with the spin of the one-flavor baryon in QCD. Since the N c scaling of the vortexes is the same as that of baryons, the latter can be regarded as the former. By virtue of the particle-vortex symmetry, the dual Zhang-Hansson-Kivelson theory indicates that the quark carries topological charge 1/N c and obeys fractional statistics. The generalization to arbitrary N f is also discussed.