Level crossing of fermions coupled with the ℂPN Skyrme-Faddeev model
Y Amari, M Iida, N Sawado - Journal of Physics: Conference …, 2019 - iopscience.iop.org
Y Amari, M Iida, N Sawado
Journal of Physics: Conference Series, 2019•iopscience.iop.org… In this paper we solve the fermionic model coupled with the CPN Skyrme-Faddeev model.
Basic property of localizing mode of fermions on a topological soliton is understood in terms
of basis of Atiyah-Singer Index theorem [8]. The index for the Dirac operator D may be
defined as dim kerD − dim kerD … In this paper, we studied the spectrum of the fermions
coupled with the vortices of a CPN Skyrme-Faddeev type model. We computed the spectral
flow of the fermoninc one-particle state which realized the …
Basic property of localizing mode of fermions on a topological soliton is understood in terms
of basis of Atiyah-Singer Index theorem [8]. The index for the Dirac operator D may be
defined as dim kerD − dim kerD … In this paper, we studied the spectrum of the fermions
coupled with the vortices of a CPN Skyrme-Faddeev type model. We computed the spectral
flow of the fermoninc one-particle state which realized the …
Abstract
The extended Skyrme-Faddeev model possesses vortex solutions with target space Bbb C P N. In terms of the coupling with fermions, the spectral flow and the level crossing occurs which corresponds to fermionic quantum number nonconcervation.
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