Abstract
We show that the recent construction of Nf = 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 Nc/2, which coincides with the spin of the one-flavor baryon in QCD. Since the Nc 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/Nc and obeys fractional statistics. The generalization to arbitrary Nf is also discussed.
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Acknowledgments
The work of Y.L. M. is supported in part by the National Science Foundation of China (NSFC) under Grant No. 12347103, No. 11875147 and No. 12147103 and the National Key R&D Program of China under Grant No. 2021YFC2202900.
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Lin, F., Ma, YL. Baryons as vortexes on the η′ domain wall. J. High Energ. Phys. 2024, 270 (2024). https://doi.org/10.1007/JHEP05(2024)270
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DOI: https://doi.org/10.1007/JHEP05(2024)270