[HTML][HTML] A baby–Skyrme model with anisotropic DM interaction: Compact skyrmions revisited

F Hanada, N Sawado - Nuclear Physics B, 2023 - Elsevier
We consider a baby–Skyrme model with Dzyaloshinskii–Moriya interaction (DMI) and two
types of potential terms. The model has a close connection with the vacuum functional of …

Spectral flow of fermions in the ℂP2 (anti-) instanton, and the sphaleron with vanishing topological charge

Y Amari, N Sawado, S Yamamoto - Journal of High Energy Physics, 2024 - Springer
A bstract The spectral flow is ubiquitous in the physics of soliton-fermion interacting systems.
We study the spectral flows related to a continuous deformation of background soliton …

Instanton size dependence on fermion energy spectra in a ℂP2 fermionic sigma model

Y Amari, N Sawado, S Yamamoto - Journal of Physics …, 2023 - iopscience.iop.org
Spectral flow is a fascinating behavior of fermion's energy levels that cross zero as a
parameter varies. In fermion-soliton system, it owes the topology of the soliton. We examine …

Spectral energy of Dirac operators for fermion scattering on topological solitons in the nonlinear -model

D Funakawa, S Okumura, Y Ueda - arXiv preprint arXiv:2405.10549, 2024 - arxiv.org
We present a criteria affirming the existence of discrete ground states of the Dirac operators
which describe the fermion scattering on topological solitons in the nonlinear $ O (3) …