Baryons as vortexes on the η′ domain wall

Autor: Fan Lin, Yong-Liang Ma
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 5, Pp 1-13 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP05(2024)270
Popis: 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.
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