Fermion localization and degenerate resonances on brane array

In this work, we consider the multi-wall braneworld arisen from multi-scalar fields, and investigate the localization and resonances of spin-1/2 fermion on the multi-walls. We build two analytic multi-wall solutions with a polynomial superpotential and a modified sine-Gordon superpotential respectiv...

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Published in:Classical and quantum gravity 2020-01, Vol.37 (2), p.25012
Main Authors: Xie, Qun-Ying, Zhao, Zhen-Hua, Yang, Jie, Yang, Ke
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Language:English
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braneworld
degenerate resonances
extra dimension
fermion localization
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description In this work, we consider the multi-wall braneworld arisen from multi-scalar fields, and investigate the localization and resonances of spin-1/2 fermion on the multi-walls. We build two analytic multi-wall solutions with a polynomial superpotential and a modified sine-Gordon superpotential respectively. The massless fermion is the only bound state and localized between the two outermost sub-branes. The factors affecting the number of massive resonant fermions are analyzed. What interesting is that all the fermion resonant states are non-degenerate for the cases of single- and two-walls, however, doubly-degenerate fermion resonant states emerge for the cases of three- and four-walls. This novel phenomenon could be potentially interesting in phenomenology.
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subjects braneworld
degenerate resonances
extra dimension
fermion localization
title Fermion localization and degenerate resonances on brane array
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